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Finding the Fourth Proportional to 195.40, 269.46 and 151.72

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Solution

The fourth proportional to 195.40, 269.46 and 151.72 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.40 : 269.46 = 151.72 : x
  2. Step 2: Convert to fraction form
    195.40/269.46 = 151.72/x
  3. Step 3: Cross multiply
    195.40x = 269.46 × 151.72
  4. Step 4: Simplify right side
    195.40x = 40,882.47
  5. Step 5: Solve for x
    x = 40,882.47/195.40
  6. Step 6: Final answer
    x = 209.22

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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.