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Finding the Fourth Proportional to 200.56, 300.92 and 139.66

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Solution

The fourth proportional to 200.56, 300.92 and 139.66 is: 209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 300.92 = 139.66 : x
  2. Step 2: Convert to fraction form
    200.56/300.92 = 139.66/x
  3. Step 3: Cross multiply
    200.56x = 300.92 × 139.66
  4. Step 4: Simplify right side
    200.56x = 42,026.49
  5. Step 5: Solve for x
    x = 42,026.49/200.56
  6. Step 6: Final answer
    x = 209.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.