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Finding the Fourth Proportional to 148.24, 221.70 and 111.80

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Solution

The fourth proportional to 148.24, 221.70 and 111.80 is: 167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.24 : 221.70 = 111.80 : x
  2. Step 2: Convert to fraction form
    148.24/221.70 = 111.80/x
  3. Step 3: Cross multiply
    148.24x = 221.70 × 111.80
  4. Step 4: Simplify right side
    148.24x = 24,786.06
  5. Step 5: Solve for x
    x = 24,786.06/148.24
  6. Step 6: Final answer
    x = 167.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.