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Finding the Fourth Proportional to 200.41, 276.57 and 113.11

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Solution

The fourth proportional to 200.41, 276.57 and 113.11 is: 156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.41 : 276.57 = 113.11 : x
  2. Step 2: Convert to fraction form
    200.41/276.57 = 113.11/x
  3. Step 3: Cross multiply
    200.41x = 276.57 × 113.11
  4. Step 4: Simplify right side
    200.41x = 31,282.83
  5. Step 5: Solve for x
    x = 31,282.83/200.41
  6. Step 6: Final answer
    x = 156.09

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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.