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Finding the Fourth Proportional to 337.11, 465.32 and 206.13

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Solution

The fourth proportional to 337.11, 465.32 and 206.13 is: 284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.11 : 465.32 = 206.13 : x
  2. Step 2: Convert to fraction form
    337.11/465.32 = 206.13/x
  3. Step 3: Cross multiply
    337.11x = 465.32 × 206.13
  4. Step 4: Simplify right side
    337.11x = 95,916.41
  5. Step 5: Solve for x
    x = 95,916.41/337.11
  6. Step 6: Final answer
    x = 284.53

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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.