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Finding the Fourth Proportional to 314.43, 471.66 and 119.31

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Solution

The fourth proportional to 314.43, 471.66 and 119.31 is: 178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.43 : 471.66 = 119.31 : x
  2. Step 2: Convert to fraction form
    314.43/471.66 = 119.31/x
  3. Step 3: Cross multiply
    314.43x = 471.66 × 119.31
  4. Step 4: Simplify right side
    314.43x = 56,273.75
  5. Step 5: Solve for x
    x = 56,273.75/314.43
  6. Step 6: Final answer
    x = 178.97

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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.