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Finding the Fourth Proportional to 221.97, 306.54 and 148.46

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Solution

The fourth proportional to 221.97, 306.54 and 148.46 is: 205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.97 : 306.54 = 148.46 : x
  2. Step 2: Convert to fraction form
    221.97/306.54 = 148.46/x
  3. Step 3: Cross multiply
    221.97x = 306.54 × 148.46
  4. Step 4: Simplify right side
    221.97x = 45,508.19
  5. Step 5: Solve for x
    x = 45,508.19/221.97
  6. Step 6: Final answer
    x = 205.02

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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.