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Finding the Fourth Proportional to 468.54, 702.82 and 143.90

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Solution

The fourth proportional to 468.54, 702.82 and 143.90 is: 215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 702.82 = 143.90 : x
  2. Step 2: Convert to fraction form
    468.54/702.82 = 143.90/x
  3. Step 3: Cross multiply
    468.54x = 702.82 × 143.90
  4. Step 4: Simplify right side
    468.54x = 101,135.80
  5. Step 5: Solve for x
    x = 101,135.80/468.54
  6. Step 6: Final answer
    x = 215.85

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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.