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Finding the Fourth Proportional to 316.01, 473.82 and 169.92

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Solution

The fourth proportional to 316.01, 473.82 and 169.92 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.01 : 473.82 = 169.92 : x
  2. Step 2: Convert to fraction form
    316.01/473.82 = 169.92/x
  3. Step 3: Cross multiply
    316.01x = 473.82 × 169.92
  4. Step 4: Simplify right side
    316.01x = 80,511.49
  5. Step 5: Solve for x
    x = 80,511.49/316.01
  6. Step 6: Final answer
    x = 254.78

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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.