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Finding the Fourth Proportional to 478.26, 717.50 and 136.26

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Solution

The fourth proportional to 478.26, 717.50 and 136.26 is: 204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.26 : 717.50 = 136.26 : x
  2. Step 2: Convert to fraction form
    478.26/717.50 = 136.26/x
  3. Step 3: Cross multiply
    478.26x = 717.50 × 136.26
  4. Step 4: Simplify right side
    478.26x = 97,766.55
  5. Step 5: Solve for x
    x = 97,766.55/478.26
  6. Step 6: Final answer
    x = 204.42

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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.