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Finding the Fourth Proportional to 221.25, 305.25 and 138.42

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Solution

The fourth proportional to 221.25, 305.25 and 138.42 is: 190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.25 : 305.25 = 138.42 : x
  2. Step 2: Convert to fraction form
    221.25/305.25 = 138.42/x
  3. Step 3: Cross multiply
    221.25x = 305.25 × 138.42
  4. Step 4: Simplify right side
    221.25x = 42,252.71
  5. Step 5: Solve for x
    x = 42,252.71/221.25
  6. Step 6: Final answer
    x = 190.97

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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.