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Finding the Fourth Proportional to 468.50, 702.77 and 180.14

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Solution

The fourth proportional to 468.50, 702.77 and 180.14 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.50 : 702.77 = 180.14 : x
  2. Step 2: Convert to fraction form
    468.50/702.77 = 180.14/x
  3. Step 3: Cross multiply
    468.50x = 702.77 × 180.14
  4. Step 4: Simplify right side
    468.50x = 126,592.57
  5. Step 5: Solve for x
    x = 126,592.57/468.50
  6. Step 6: Final answer
    x = 270.21

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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.