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Finding the Fourth Proportional to 180.97, 271.46 and 99.77

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Solution

The fourth proportional to 180.97, 271.46 and 99.77 is: 149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.97 : 271.46 = 99.77 : x
  2. Step 2: Convert to fraction form
    180.97/271.46 = 99.77/x
  3. Step 3: Cross multiply
    180.97x = 271.46 × 99.77
  4. Step 4: Simplify right side
    180.97x = 27,083.56
  5. Step 5: Solve for x
    x = 27,083.56/180.97
  6. Step 6: Final answer
    x = 149.66

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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.