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Finding the Fourth Proportional to 548.88, 823.32 and 164.13

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Solution

The fourth proportional to 548.88, 823.32 and 164.13 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 823.32 = 164.13 : x
  2. Step 2: Convert to fraction form
    548.88/823.32 = 164.13/x
  3. Step 3: Cross multiply
    548.88x = 823.32 × 164.13
  4. Step 4: Simplify right side
    548.88x = 135,131.51
  5. Step 5: Solve for x
    x = 135,131.51/548.88
  6. Step 6: Final answer
    x = 246.20

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Double scale
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Similar ratio
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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.