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Finding the Fourth Proportional to 468.24, 702.22 and 159.92

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Solution

The fourth proportional to 468.24, 702.22 and 159.92 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 702.22 = 159.92 : x
  2. Step 2: Convert to fraction form
    468.24/702.22 = 159.92/x
  3. Step 3: Cross multiply
    468.24x = 702.22 × 159.92
  4. Step 4: Simplify right side
    468.24x = 112,299.02
  5. Step 5: Solve for x
    x = 112,299.02/468.24
  6. Step 6: Final answer
    x = 239.83

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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.