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Finding the Fourth Proportional to 468.86, 702.91 and 195.15

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Solution

The fourth proportional to 468.86, 702.91 and 195.15 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.86 : 702.91 = 195.15 : x
  2. Step 2: Convert to fraction form
    468.86/702.91 = 195.15/x
  3. Step 3: Cross multiply
    468.86x = 702.91 × 195.15
  4. Step 4: Simplify right side
    468.86x = 137,175.03
  5. Step 5: Solve for x
    x = 137,175.03/468.86
  6. Step 6: Final answer
    x = 292.57

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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.