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Finding the Fourth Proportional to 222.28, 306.70 and 148.47

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Solution

The fourth proportional to 222.28, 306.70 and 148.47 is: 204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 306.70 = 148.47 : x
  2. Step 2: Convert to fraction form
    222.28/306.70 = 148.47/x
  3. Step 3: Cross multiply
    222.28x = 306.70 × 148.47
  4. Step 4: Simplify right side
    222.28x = 45,535.75
  5. Step 5: Solve for x
    x = 45,535.75/222.28
  6. Step 6: Final answer
    x = 204.86

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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.