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Finding the Fourth Proportional to 222.31, 306.57 and 148.60

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Solution

The fourth proportional to 222.31, 306.57 and 148.60 is: 204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.31 : 306.57 = 148.60 : x
  2. Step 2: Convert to fraction form
    222.31/306.57 = 148.60/x
  3. Step 3: Cross multiply
    222.31x = 306.57 × 148.60
  4. Step 4: Simplify right side
    222.31x = 45,556.30
  5. Step 5: Solve for x
    x = 45,556.30/222.31
  6. Step 6: Final answer
    x = 204.92

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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.