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Finding the Fourth Proportional to 314.12, 471.23 and 159.89

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Solution

The fourth proportional to 314.12, 471.23 and 159.89 is: 239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 471.23 = 159.89 : x
  2. Step 2: Convert to fraction form
    314.12/471.23 = 159.89/x
  3. Step 3: Cross multiply
    314.12x = 471.23 × 159.89
  4. Step 4: Simplify right side
    314.12x = 75,341.81
  5. Step 5: Solve for x
    x = 75,341.81/314.12
  6. Step 6: Final answer
    x = 239.85

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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.