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Finding the Fourth Proportional to 199.72, 275.62 and 116.82

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Solution

The fourth proportional to 199.72, 275.62 and 116.82 is: 161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.72 : 275.62 = 116.82 : x
  2. Step 2: Convert to fraction form
    199.72/275.62 = 116.82/x
  3. Step 3: Cross multiply
    199.72x = 275.62 × 116.82
  4. Step 4: Simplify right side
    199.72x = 32,197.93
  5. Step 5: Solve for x
    x = 32,197.93/199.72
  6. Step 6: Final answer
    x = 161.22

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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.