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Finding the Fourth Proportional to 337.92, 506.71 and 155.45

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Solution

The fourth proportional to 337.92, 506.71 and 155.45 is: 233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 506.71 = 155.45 : x
  2. Step 2: Convert to fraction form
    337.92/506.71 = 155.45/x
  3. Step 3: Cross multiply
    337.92x = 506.71 × 155.45
  4. Step 4: Simplify right side
    337.92x = 78,768.07
  5. Step 5: Solve for x
    x = 78,768.07/337.92
  6. Step 6: Final answer
    x = 233.10

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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.