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Finding the Fourth Proportional to 148.06, 220.50 and 147.31

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Solution

The fourth proportional to 148.06, 220.50 and 147.31 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.06 : 220.50 = 147.31 : x
  2. Step 2: Convert to fraction form
    148.06/220.50 = 147.31/x
  3. Step 3: Cross multiply
    148.06x = 220.50 × 147.31
  4. Step 4: Simplify right side
    148.06x = 32,481.86
  5. Step 5: Solve for x
    x = 32,481.86/148.06
  6. Step 6: Final answer
    x = 219.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.