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Finding the Fourth Proportional to 468.08, 702.12 and 159.97

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Solution

The fourth proportional to 468.08, 702.12 and 159.97 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.08 : 702.12 = 159.97 : x
  2. Step 2: Convert to fraction form
    468.08/702.12 = 159.97/x
  3. Step 3: Cross multiply
    468.08x = 702.12 × 159.97
  4. Step 4: Simplify right side
    468.08x = 112,318.14
  5. Step 5: Solve for x
    x = 112,318.14/468.08
  6. Step 6: Final answer
    x = 239.96

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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.