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Finding the Fourth Proportional to 314.10, 471.21 and 159.90

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Solution

The fourth proportional to 314.10, 471.21 and 159.90 is: 239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 471.21 = 159.90 : x
  2. Step 2: Convert to fraction form
    314.10/471.21 = 159.90/x
  3. Step 3: Cross multiply
    314.10x = 471.21 × 159.90
  4. Step 4: Simplify right side
    314.10x = 75,346.48
  5. Step 5: Solve for x
    x = 75,346.48/314.10
  6. Step 6: Final answer
    x = 239.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.