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Finding the Fourth Proportional to 314.16, 470.47 and 159.88

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Solution

The fourth proportional to 314.16, 470.47 and 159.88 is: 239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 470.47 = 159.88 : x
  2. Step 2: Convert to fraction form
    314.16/470.47 = 159.88/x
  3. Step 3: Cross multiply
    314.16x = 470.47 × 159.88
  4. Step 4: Simplify right side
    314.16x = 75,218.74
  5. Step 5: Solve for x
    x = 75,218.74/314.16
  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.