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Finding the Fourth Proportional to 221.12, 330.96 and 148.48

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Solution

The fourth proportional to 221.12, 330.96 and 148.48 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.12 : 330.96 = 148.48 : x
  2. Step 2: Convert to fraction form
    221.12/330.96 = 148.48/x
  3. Step 3: Cross multiply
    221.12x = 330.96 × 148.48
  4. Step 4: Simplify right side
    221.12x = 49,140.94
  5. Step 5: Solve for x
    x = 49,140.94/221.12
  6. Step 6: Final answer
    x = 222.24

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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.