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Finding the Fourth Proportional to 468.25, 702.60 and 179.89

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Solution

The fourth proportional to 468.25, 702.60 and 179.89 is: 269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.25 : 702.60 = 179.89 : x
  2. Step 2: Convert to fraction form
    468.25/702.60 = 179.89/x
  3. Step 3: Cross multiply
    468.25x = 702.60 × 179.89
  4. Step 4: Simplify right side
    468.25x = 126,390.71
  5. Step 5: Solve for x
    x = 126,390.71/468.25
  6. Step 6: Final answer
    x = 269.92

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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.