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Finding the Fourth Proportional to 468.46, 702.78 and 179.86

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Solution

The fourth proportional to 468.46, 702.78 and 179.86 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.46 : 702.78 = 179.86 : x
  2. Step 2: Convert to fraction form
    468.46/702.78 = 179.86/x
  3. Step 3: Cross multiply
    468.46x = 702.78 × 179.86
  4. Step 4: Simplify right side
    468.46x = 126,402.01
  5. Step 5: Solve for x
    x = 126,402.01/468.46
  6. Step 6: Final answer
    x = 269.82

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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.