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Finding the Fourth Proportional to 337.70, 465.85 and 206.62

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Solution

The fourth proportional to 337.70, 465.85 and 206.62 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.70 : 465.85 = 206.62 : x
  2. Step 2: Convert to fraction form
    337.70/465.85 = 206.62/x
  3. Step 3: Cross multiply
    337.70x = 465.85 × 206.62
  4. Step 4: Simplify right side
    337.70x = 96,253.02
  5. Step 5: Solve for x
    x = 96,253.02/337.70
  6. Step 6: Final answer
    x = 285.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.