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Finding the Fourth Proportional to 221.62, 306.03 and 148.06

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Solution

The fourth proportional to 221.62, 306.03 and 148.06 is: 204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.62 : 306.03 = 148.06 : x
  2. Step 2: Convert to fraction form
    221.62/306.03 = 148.06/x
  3. Step 3: Cross multiply
    221.62x = 306.03 × 148.06
  4. Step 4: Simplify right side
    221.62x = 45,310.80
  5. Step 5: Solve for x
    x = 45,310.80/221.62
  6. Step 6: Final answer
    x = 204.45

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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.