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Finding the Fourth Proportional to 548.16, 822.24 and 206.08

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Solution

The fourth proportional to 548.16, 822.24 and 206.08 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.16 : 822.24 = 206.08 : x
  2. Step 2: Convert to fraction form
    548.16/822.24 = 206.08/x
  3. Step 3: Cross multiply
    548.16x = 822.24 × 206.08
  4. Step 4: Simplify right side
    548.16x = 169,447.22
  5. Step 5: Solve for x
    x = 169,447.22/548.16
  6. Step 6: Final answer
    x = 309.12

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.