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Finding the Fourth Proportional to 140.55, 186.78 and 140.55

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Solution

The fourth proportional to 140.55, 186.78 and 140.55 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.55 : 186.78 = 140.55 : x
  2. Step 2: Convert to fraction form
    140.55/186.78 = 140.55/x
  3. Step 3: Cross multiply
    140.55x = 186.78 × 140.55
  4. Step 4: Simplify right side
    140.55x = 26,251.93
  5. Step 5: Solve for x
    x = 26,251.93/140.55
  6. Step 6: Final answer
    x = 186.78

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.