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Finding the Fourth Proportional to 337.66, 506.58 and 118.24

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Solution

The fourth proportional to 337.66, 506.58 and 118.24 is: 177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.66 : 506.58 = 118.24 : x
  2. Step 2: Convert to fraction form
    337.66/506.58 = 118.24/x
  3. Step 3: Cross multiply
    337.66x = 506.58 × 118.24
  4. Step 4: Simplify right side
    337.66x = 59,898.02
  5. Step 5: Solve for x
    x = 59,898.02/337.66
  6. Step 6: Final answer
    x = 177.39

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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.