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Finding the Fourth Proportional to 200.13, 276.20 and 112.82

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Solution

The fourth proportional to 200.13, 276.20 and 112.82 is: 155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.13 : 276.20 = 112.82 : x
  2. Step 2: Convert to fraction form
    200.13/276.20 = 112.82/x
  3. Step 3: Cross multiply
    200.13x = 276.20 × 112.82
  4. Step 4: Simplify right side
    200.13x = 31,158.94
  5. Step 5: Solve for x
    x = 31,158.94/200.13
  6. Step 6: Final answer
    x = 155.69

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