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Finding the Fourth Proportional to 221.14, 305.24 and 147.42

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Solution

The fourth proportional to 221.14, 305.24 and 147.42 is: 203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.14 : 305.24 = 147.42 : x
  2. Step 2: Convert to fraction form
    221.14/305.24 = 147.42/x
  3. Step 3: Cross multiply
    221.14x = 305.24 × 147.42
  4. Step 4: Simplify right side
    221.14x = 44,998.48
  5. Step 5: Solve for x
    x = 44,998.48/221.14
  6. Step 6: Final answer
    x = 203.48

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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.