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Finding the Fourth Proportional to 314.40, 470.84 and 159.92

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Solution

The fourth proportional to 314.40, 470.84 and 159.92 is: 239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.40 : 470.84 = 159.92 : x
  2. Step 2: Convert to fraction form
    314.40/470.84 = 159.92/x
  3. Step 3: Cross multiply
    314.40x = 470.84 × 159.92
  4. Step 4: Simplify right side
    314.40x = 75,296.73
  5. Step 5: Solve for x
    x = 75,296.73/314.40
  6. Step 6: Final answer
    x = 239.49

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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.