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Finding the Fourth Proportional to 144.17, 217.37 and 130.80

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Solution

The fourth proportional to 144.17, 217.37 and 130.80 is: 197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.17 : 217.37 = 130.80 : x
  2. Step 2: Convert to fraction form
    144.17/217.37 = 130.80/x
  3. Step 3: Cross multiply
    144.17x = 217.37 × 130.80
  4. Step 4: Simplify right side
    144.17x = 28,432.00
  5. Step 5: Solve for x
    x = 28,432.00/144.17
  6. Step 6: Final answer
    x = 197.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.