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Finding the Fourth Proportional to 337.35, 506.24 and 164.04

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Solution

The fourth proportional to 337.35, 506.24 and 164.04 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.35 : 506.24 = 164.04 : x
  2. Step 2: Convert to fraction form
    337.35/506.24 = 164.04/x
  3. Step 3: Cross multiply
    337.35x = 506.24 × 164.04
  4. Step 4: Simplify right side
    337.35x = 83,042.79
  5. Step 5: Solve for x
    x = 83,042.79/337.35
  6. Step 6: Final answer
    x = 246.16

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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.