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Finding the Fourth Proportional to 200.26, 276.33 and 112.90

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Solution

The fourth proportional to 200.26, 276.33 and 112.90 is: 155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.26 : 276.33 = 112.90 : x
  2. Step 2: Convert to fraction form
    200.26/276.33 = 112.90/x
  3. Step 3: Cross multiply
    200.26x = 276.33 × 112.90
  4. Step 4: Simplify right side
    200.26x = 31,197.66
  5. Step 5: Solve for x
    x = 31,197.66/200.26
  6. Step 6: Final answer
    x = 155.79

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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.