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Finding the Fourth Proportional to 220.31, 304.06 and 140.61

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Solution

The fourth proportional to 220.31, 304.06 and 140.61 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.31 : 304.06 = 140.61 : x
  2. Step 2: Convert to fraction form
    220.31/304.06 = 140.61/x
  3. Step 3: Cross multiply
    220.31x = 304.06 × 140.61
  4. Step 4: Simplify right side
    220.31x = 42,753.93
  5. Step 5: Solve for x
    x = 42,753.93/220.31
  6. Step 6: Final answer
    x = 194.06

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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.