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Finding the Fourth Proportional to 213.76, 294.92 and 140.12

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Solution

The fourth proportional to 213.76, 294.92 and 140.12 is: 193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 294.92 = 140.12 : x
  2. Step 2: Convert to fraction form
    213.76/294.92 = 140.12/x
  3. Step 3: Cross multiply
    213.76x = 294.92 × 140.12
  4. Step 4: Simplify right side
    213.76x = 41,323.49
  5. Step 5: Solve for x
    x = 41,323.49/213.76
  6. Step 6: Final answer
    x = 193.32

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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.