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Finding the Fourth Proportional to 314.68, 471.60 and 141.31

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Solution

The fourth proportional to 314.68, 471.60 and 141.31 is: 211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.68 : 471.60 = 141.31 : x
  2. Step 2: Convert to fraction form
    314.68/471.60 = 141.31/x
  3. Step 3: Cross multiply
    314.68x = 471.60 × 141.31
  4. Step 4: Simplify right side
    314.68x = 66,641.80
  5. Step 5: Solve for x
    x = 66,641.80/314.68
  6. Step 6: Final answer
    x = 211.78

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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.