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Finding the Fourth Proportional to 213.20, 294.14 and 134.48

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Solution

The fourth proportional to 213.20, 294.14 and 134.48 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 294.14 = 134.48 : x
  2. Step 2: Convert to fraction form
    213.20/294.14 = 134.48/x
  3. Step 3: Cross multiply
    213.20x = 294.14 × 134.48
  4. Step 4: Simplify right side
    213.20x = 39,553.80
  5. Step 5: Solve for x
    x = 39,553.80/213.20
  6. Step 6: Final answer
    x = 185.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.