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Finding the Fourth Proportional to 151.95, 209.85 and 119.44

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Solution

The fourth proportional to 151.95, 209.85 and 119.44 is: 164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.95 : 209.85 = 119.44 : x
  2. Step 2: Convert to fraction form
    151.95/209.85 = 119.44/x
  3. Step 3: Cross multiply
    151.95x = 209.85 × 119.44
  4. Step 4: Simplify right side
    151.95x = 25,064.48
  5. Step 5: Solve for x
    x = 25,064.48/151.95
  6. Step 6: Final answer
    x = 164.95

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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.