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Finding the Fourth Proportional to 140.56, 212.38 and 139.75

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Solution

The fourth proportional to 140.56, 212.38 and 139.75 is: 211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 212.38 = 139.75 : x
  2. Step 2: Convert to fraction form
    140.56/212.38 = 139.75/x
  3. Step 3: Cross multiply
    140.56x = 212.38 × 139.75
  4. Step 4: Simplify right side
    140.56x = 29,679.22
  5. Step 5: Solve for x
    x = 29,679.22/140.56
  6. Step 6: Final answer
    x = 211.15

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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.