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Finding the Fourth Proportional to 200.31, 276.24 and 125.56

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Solution

The fourth proportional to 200.31, 276.24 and 125.56 is: 173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 276.24 = 125.56 : x
  2. Step 2: Convert to fraction form
    200.31/276.24 = 125.56/x
  3. Step 3: Cross multiply
    200.31x = 276.24 × 125.56
  4. Step 4: Simplify right side
    200.31x = 34,684.69
  5. Step 5: Solve for x
    x = 34,684.69/200.31
  6. Step 6: Final answer
    x = 173.16

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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.