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Finding the Fourth Proportional to 337.13, 465.41 and 206.18

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Solution

The fourth proportional to 337.13, 465.41 and 206.18 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.13 : 465.41 = 206.18 : x
  2. Step 2: Convert to fraction form
    337.13/465.41 = 206.18/x
  3. Step 3: Cross multiply
    337.13x = 465.41 × 206.18
  4. Step 4: Simplify right side
    337.13x = 95,957.20
  5. Step 5: Solve for x
    x = 95,957.20/337.13
  6. Step 6: Final answer
    x = 284.63

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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.