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Finding the Fourth Proportional to 144.80, 217 and 138.76

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Solution

The fourth proportional to 144.80, 217 and 138.76 is: 207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.80 : 217 = 138.76 : x
  2. Step 2: Convert to fraction form
    144.80/217 = 138.76/x
  3. Step 3: Cross multiply
    144.80x = 217 × 138.76
  4. Step 4: Simplify right side
    144.80x = 30,110.92
  5. Step 5: Solve for x
    x = 30,110.92/144.80
  6. Step 6: Final answer
    x = 207.95

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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.