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Finding the Fourth Proportional to 151.95, 209.78 and 122.46

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Solution

The fourth proportional to 151.95, 209.78 and 122.46 is: 169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.95 : 209.78 = 122.46 : x
  2. Step 2: Convert to fraction form
    151.95/209.78 = 122.46/x
  3. Step 3: Cross multiply
    151.95x = 209.78 × 122.46
  4. Step 4: Simplify right side
    151.95x = 25,689.66
  5. Step 5: Solve for x
    x = 25,689.66/151.95
  6. Step 6: Final answer
    x = 169.07

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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.