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Finding the Fourth Proportional to 314.38, 470.91 and 159.84

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Solution

The fourth proportional to 314.38, 470.91 and 159.84 is: 239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 470.91 = 159.84 : x
  2. Step 2: Convert to fraction form
    314.38/470.91 = 159.84/x
  3. Step 3: Cross multiply
    314.38x = 470.91 × 159.84
  4. Step 4: Simplify right side
    314.38x = 75,270.85
  5. Step 5: Solve for x
    x = 75,270.85/314.38
  6. Step 6: Final answer
    x = 239.43

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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.