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Finding the Fourth Proportional to 468.13, 702.29 and 179.59

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Solution

The fourth proportional to 468.13, 702.29 and 179.59 is: 269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.13 : 702.29 = 179.59 : x
  2. Step 2: Convert to fraction form
    468.13/702.29 = 179.59/x
  3. Step 3: Cross multiply
    468.13x = 702.29 × 179.59
  4. Step 4: Simplify right side
    468.13x = 126,124.26
  5. Step 5: Solve for x
    x = 126,124.26/468.13
  6. Step 6: Final answer
    x = 269.42

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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.