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Finding the Fourth Proportional to 140.49, 211.47 and 119.61

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Solution

The fourth proportional to 140.49, 211.47 and 119.61 is: 180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.49 : 211.47 = 119.61 : x
  2. Step 2: Convert to fraction form
    140.49/211.47 = 119.61/x
  3. Step 3: Cross multiply
    140.49x = 211.47 × 119.61
  4. Step 4: Simplify right side
    140.49x = 25,293.93
  5. Step 5: Solve for x
    x = 25,293.93/140.49
  6. Step 6: Final answer
    x = 180.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.