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Finding the Fourth Proportional to 221.78, 306.07 and 148.23

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Solution

The fourth proportional to 221.78, 306.07 and 148.23 is: 204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.78 : 306.07 = 148.23 : x
  2. Step 2: Convert to fraction form
    221.78/306.07 = 148.23/x
  3. Step 3: Cross multiply
    221.78x = 306.07 × 148.23
  4. Step 4: Simplify right side
    221.78x = 45,368.39
  5. Step 5: Solve for x
    x = 45,368.39/221.78
  6. Step 6: Final answer
    x = 204.56

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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.