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Finding the Fourth Proportional to 195.57, 292.87 and 114.16

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Solution

The fourth proportional to 195.57, 292.87 and 114.16 is: 170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.57 : 292.87 = 114.16 : x
  2. Step 2: Convert to fraction form
    195.57/292.87 = 114.16/x
  3. Step 3: Cross multiply
    195.57x = 292.87 × 114.16
  4. Step 4: Simplify right side
    195.57x = 33,433.47
  5. Step 5: Solve for x
    x = 33,433.47/195.57
  6. Step 6: Final answer
    x = 170.96

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Why These Related Problems?

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