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Finding the Fourth Proportional to 195.19, 269.49 and 121.52

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Solution

The fourth proportional to 195.19, 269.49 and 121.52 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 269.49 = 121.52 : x
  2. Step 2: Convert to fraction form
    195.19/269.49 = 121.52/x
  3. Step 3: Cross multiply
    195.19x = 269.49 × 121.52
  4. Step 4: Simplify right side
    195.19x = 32,748.42
  5. Step 5: Solve for x
    x = 32,748.42/195.19
  6. Step 6: Final answer
    x = 167.78

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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.