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Finding the Fourth Proportional to 221.80, 306.24 and 148.24

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Solution

The fourth proportional to 221.80, 306.24 and 148.24 is: 204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.80 : 306.24 = 148.24 : x
  2. Step 2: Convert to fraction form
    221.80/306.24 = 148.24/x
  3. Step 3: Cross multiply
    221.80x = 306.24 × 148.24
  4. Step 4: Simplify right side
    221.80x = 45,397.02
  5. Step 5: Solve for x
    x = 45,397.02/221.80
  6. Step 6: Final answer
    x = 204.68

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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.