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Finding the Fourth Proportional to 140.70, 211.89 and 132.60

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Solution

The fourth proportional to 140.70, 211.89 and 132.60 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.70 : 211.89 = 132.60 : x
  2. Step 2: Convert to fraction form
    140.70/211.89 = 132.60/x
  3. Step 3: Cross multiply
    140.70x = 211.89 × 132.60
  4. Step 4: Simplify right side
    140.70x = 28,096.61
  5. Step 5: Solve for x
    x = 28,096.61/140.70
  6. Step 6: Final answer
    x = 199.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.