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Finding the Fourth Proportional to 199.46, 275.21 and 116.57

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Solution

The fourth proportional to 199.46, 275.21 and 116.57 is: 160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.46 : 275.21 = 116.57 : x
  2. Step 2: Convert to fraction form
    199.46/275.21 = 116.57/x
  3. Step 3: Cross multiply
    199.46x = 275.21 × 116.57
  4. Step 4: Simplify right side
    199.46x = 32,079.27
  5. Step 5: Solve for x
    x = 32,079.27/199.46
  6. Step 6: Final answer
    x = 160.83

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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.