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Finding the Fourth Proportional to 221.65, 305.89 and 138.75

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Solution

The fourth proportional to 221.65, 305.89 and 138.75 is: 191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.65 : 305.89 = 138.75 : x
  2. Step 2: Convert to fraction form
    221.65/305.89 = 138.75/x
  3. Step 3: Cross multiply
    221.65x = 305.89 × 138.75
  4. Step 4: Simplify right side
    221.65x = 42,442.24
  5. Step 5: Solve for x
    x = 42,442.24/221.65
  6. Step 6: Final answer
    x = 191.48

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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.