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Finding the Fourth Proportional to 213.22, 294.24 and 147.61

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Solution

The fourth proportional to 213.22, 294.24 and 147.61 is: 203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.22 : 294.24 = 147.61 : x
  2. Step 2: Convert to fraction form
    213.22/294.24 = 147.61/x
  3. Step 3: Cross multiply
    213.22x = 294.24 × 147.61
  4. Step 4: Simplify right side
    213.22x = 43,432.77
  5. Step 5: Solve for x
    x = 43,432.77/213.22
  6. Step 6: Final answer
    x = 203.70

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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.