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Finding the Fourth Proportional to 337.46, 465.48 and 206.24

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Solution

The fourth proportional to 337.46, 465.48 and 206.24 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.46 : 465.48 = 206.24 : x
  2. Step 2: Convert to fraction form
    337.46/465.48 = 206.24/x
  3. Step 3: Cross multiply
    337.46x = 465.48 × 206.24
  4. Step 4: Simplify right side
    337.46x = 95,999.95
  5. Step 5: Solve for x
    x = 95,999.95/337.46
  6. Step 6: Final answer
    x = 284.48

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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.