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Finding the Fourth Proportional to 221.69, 305.98 and 138.85

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Solution

The fourth proportional to 221.69, 305.98 and 138.85 is: 191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.69 : 305.98 = 138.85 : x
  2. Step 2: Convert to fraction form
    221.69/305.98 = 138.85/x
  3. Step 3: Cross multiply
    221.69x = 305.98 × 138.85
  4. Step 4: Simplify right side
    221.69x = 42,484.63
  5. Step 5: Solve for x
    x = 42,484.63/221.69
  6. Step 6: Final answer
    x = 191.64

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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.