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Finding the Fourth Proportional to 148.50, 224.10 and 147.56

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Solution

The fourth proportional to 148.50, 224.10 and 147.56 is: 222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.50 : 224.10 = 147.56 : x
  2. Step 2: Convert to fraction form
    148.50/224.10 = 147.56/x
  3. Step 3: Cross multiply
    148.50x = 224.10 × 147.56
  4. Step 4: Simplify right side
    148.50x = 33,067.08
  5. Step 5: Solve for x
    x = 33,067.08/148.50
  6. Step 6: Final answer
    x = 222.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.