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Finding the Fourth Proportional to 337.70, 505.06 and 207.38

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Solution

The fourth proportional to 337.70, 505.06 and 207.38 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.70 : 505.06 = 207.38 : x
  2. Step 2: Convert to fraction form
    337.70/505.06 = 207.38/x
  3. Step 3: Cross multiply
    337.70x = 505.06 × 207.38
  4. Step 4: Simplify right side
    337.70x = 104,740.09
  5. Step 5: Solve for x
    x = 104,740.09/337.70
  6. Step 6: Final answer
    x = 310.15

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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.