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Finding the Fourth Proportional to 221.53, 305.84 and 138.68

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Solution

The fourth proportional to 221.53, 305.84 and 138.68 is: 191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.53 : 305.84 = 138.68 : x
  2. Step 2: Convert to fraction form
    221.53/305.84 = 138.68/x
  3. Step 3: Cross multiply
    221.53x = 305.84 × 138.68
  4. Step 4: Simplify right side
    221.53x = 42,413.89
  5. Step 5: Solve for x
    x = 42,413.89/221.53
  6. Step 6: Final answer
    x = 191.46

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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.