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Finding the Fourth Proportional to 195.17, 292.14 and 140.23

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Solution

The fourth proportional to 195.17, 292.14 and 140.23 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.17 : 292.14 = 140.23 : x
  2. Step 2: Convert to fraction form
    195.17/292.14 = 140.23/x
  3. Step 3: Cross multiply
    195.17x = 292.14 × 140.23
  4. Step 4: Simplify right side
    195.17x = 40,967.16
  5. Step 5: Solve for x
    x = 40,967.16/195.17
  6. Step 6: Final answer
    x = 209.91

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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.