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Finding the Fourth Proportional to 314.80, 471.92 and 160.62

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Solution

The fourth proportional to 314.80, 471.92 and 160.62 is: 240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.80 : 471.92 = 160.62 : x
  2. Step 2: Convert to fraction form
    314.80/471.92 = 160.62/x
  3. Step 3: Cross multiply
    314.80x = 471.92 × 160.62
  4. Step 4: Simplify right side
    314.80x = 75,799.79
  5. Step 5: Solve for x
    x = 75,799.79/314.80
  6. Step 6: Final answer
    x = 240.79

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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.