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Finding the Fourth Proportional to 221.70, 305.95 and 137.66

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Solution

The fourth proportional to 221.70, 305.95 and 137.66 is: 189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.70 : 305.95 = 137.66 : x
  2. Step 2: Convert to fraction form
    221.70/305.95 = 137.66/x
  3. Step 3: Cross multiply
    221.70x = 305.95 × 137.66
  4. Step 4: Simplify right side
    221.70x = 42,114.86
  5. Step 5: Solve for x
    x = 42,114.86/221.70
  6. Step 6: Final answer
    x = 189.96

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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.