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Finding the Fourth Proportional to 468.38, 702.57 and 121.69

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Solution

The fourth proportional to 468.38, 702.57 and 121.69 is: 182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 702.57 = 121.69 : x
  2. Step 2: Convert to fraction form
    468.38/702.57 = 121.69/x
  3. Step 3: Cross multiply
    468.38x = 702.57 × 121.69
  4. Step 4: Simplify right side
    468.38x = 85,492.61
  5. Step 5: Solve for x
    x = 85,492.61/468.38
  6. Step 6: Final answer
    x = 182.53

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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.