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Finding the Fourth Proportional to 337.97, 466.40 and 182.72

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Solution

The fourth proportional to 337.97, 466.40 and 182.72 is: 252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 466.40 = 182.72 : x
  2. Step 2: Convert to fraction form
    337.97/466.40 = 182.72/x
  3. Step 3: Cross multiply
    337.97x = 466.40 × 182.72
  4. Step 4: Simplify right side
    337.97x = 85,220.15
  5. Step 5: Solve for x
    x = 85,220.15/337.97
  6. Step 6: Final answer
    x = 252.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.