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Finding the Fourth Proportional to 548.41, 822.72 and 178.31

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Solution

The fourth proportional to 548.41, 822.72 and 178.31 is: 267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.41 : 822.72 = 178.31 : x
  2. Step 2: Convert to fraction form
    548.41/822.72 = 178.31/x
  3. Step 3: Cross multiply
    548.41x = 822.72 × 178.31
  4. Step 4: Simplify right side
    548.41x = 146,694.42
  5. Step 5: Solve for x
    x = 146,694.42/548.41
  6. Step 6: Final answer
    x = 267.49

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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.