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Finding the Fourth Proportional to 319.38, 479.16 and 113.97

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Solution

The fourth proportional to 319.38, 479.16 and 113.97 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.38 : 479.16 = 113.97 : x
  2. Step 2: Convert to fraction form
    319.38/479.16 = 113.97/x
  3. Step 3: Cross multiply
    319.38x = 479.16 × 113.97
  4. Step 4: Simplify right side
    319.38x = 54,611.19
  5. Step 5: Solve for x
    x = 54,611.19/319.38
  6. Step 6: Final answer
    x = 170.99

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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.