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Finding the Fourth Proportional to 199.57, 275.43 and 116.69

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Solution

The fourth proportional to 199.57, 275.43 and 116.69 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.57 : 275.43 = 116.69 : x
  2. Step 2: Convert to fraction form
    199.57/275.43 = 116.69/x
  3. Step 3: Cross multiply
    199.57x = 275.43 × 116.69
  4. Step 4: Simplify right side
    199.57x = 32,139.93
  5. Step 5: Solve for x
    x = 32,139.93/199.57
  6. Step 6: Final answer
    x = 161.05

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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.