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Finding the Fourth Proportional to 180.67, 271.10 and 141.99

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Solution

The fourth proportional to 180.67, 271.10 and 141.99 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 271.10 = 141.99 : x
  2. Step 2: Convert to fraction form
    180.67/271.10 = 141.99/x
  3. Step 3: Cross multiply
    180.67x = 271.10 × 141.99
  4. Step 4: Simplify right side
    180.67x = 38,493.49
  5. Step 5: Solve for x
    x = 38,493.49/180.67
  6. Step 6: Final answer
    x = 213.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.