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Finding the Fourth Proportional to 314.28, 471.13 and 159.98

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Solution

The fourth proportional to 314.28, 471.13 and 159.98 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 471.13 = 159.98 : x
  2. Step 2: Convert to fraction form
    314.28/471.13 = 159.98/x
  3. Step 3: Cross multiply
    314.28x = 471.13 × 159.98
  4. Step 4: Simplify right side
    314.28x = 75,368.62
  5. Step 5: Solve for x
    x = 75,368.62/314.28
  6. Step 6: Final answer
    x = 239.81

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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.