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Finding the Fourth Proportional to 200.71, 276.92 and 116.66

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Solution

The fourth proportional to 200.71, 276.92 and 116.66 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.71 : 276.92 = 116.66 : x
  2. Step 2: Convert to fraction form
    200.71/276.92 = 116.66/x
  3. Step 3: Cross multiply
    200.71x = 276.92 × 116.66
  4. Step 4: Simplify right side
    200.71x = 32,304.90
  5. Step 5: Solve for x
    x = 32,304.90/200.71
  6. Step 6: Final answer
    x = 160.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.