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Finding the Fourth Proportional to 200.27, 276.14 and 144.92

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Solution

The fourth proportional to 200.27, 276.14 and 144.92 is: 199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.27 : 276.14 = 144.92 : x
  2. Step 2: Convert to fraction form
    200.27/276.14 = 144.92/x
  3. Step 3: Cross multiply
    200.27x = 276.14 × 144.92
  4. Step 4: Simplify right side
    200.27x = 40,019.26
  5. Step 5: Solve for x
    x = 40,019.26/200.27
  6. Step 6: Final answer
    x = 199.82

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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.