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Finding the Fourth Proportional to 200.13, 276.18 and 111.62

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Solution

The fourth proportional to 200.13, 276.18 and 111.62 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.13 : 276.18 = 111.62 : x
  2. Step 2: Convert to fraction form
    200.13/276.18 = 111.62/x
  3. Step 3: Cross multiply
    200.13x = 276.18 × 111.62
  4. Step 4: Simplify right side
    200.13x = 30,826.31
  5. Step 5: Solve for x
    x = 30,826.31/200.13
  6. Step 6: Final answer
    x = 154.03

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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.