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Finding the Fourth Proportional to 144.92, 200.13 and 144.65

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Solution

The fourth proportional to 144.92, 200.13 and 144.65 is: 199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.92 : 200.13 = 144.65 : x
  2. Step 2: Convert to fraction form
    144.92/200.13 = 144.65/x
  3. Step 3: Cross multiply
    144.92x = 200.13 × 144.65
  4. Step 4: Simplify right side
    144.92x = 28,948.80
  5. Step 5: Solve for x
    x = 28,948.80/144.92
  6. Step 6: Final answer
    x = 199.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.