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Finding the Fourth Proportional to 221.97, 306.21 and 148.35

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Solution

The fourth proportional to 221.97, 306.21 and 148.35 is: 204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.97 : 306.21 = 148.35 : x
  2. Step 2: Convert to fraction form
    221.97/306.21 = 148.35/x
  3. Step 3: Cross multiply
    221.97x = 306.21 × 148.35
  4. Step 4: Simplify right side
    221.97x = 45,426.25
  5. Step 5: Solve for x
    x = 45,426.25/221.97
  6. Step 6: Final answer
    x = 204.65

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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.