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Finding the Fourth Proportional to 337.97, 507.02 and 142.97

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Solution

The fourth proportional to 337.97, 507.02 and 142.97 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 507.02 = 142.97 : x
  2. Step 2: Convert to fraction form
    337.97/507.02 = 142.97/x
  3. Step 3: Cross multiply
    337.97x = 507.02 × 142.97
  4. Step 4: Simplify right side
    337.97x = 72,485.40
  5. Step 5: Solve for x
    x = 72,485.40/337.97
  6. Step 6: Final answer
    x = 214.48

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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.