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Finding the Fourth Proportional to 180.78, 271.08 and 144.78

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Solution

The fourth proportional to 180.78, 271.08 and 144.78 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 271.08 = 144.78 : x
  2. Step 2: Convert to fraction form
    180.78/271.08 = 144.78/x
  3. Step 3: Cross multiply
    180.78x = 271.08 × 144.78
  4. Step 4: Simplify right side
    180.78x = 39,246.96
  5. Step 5: Solve for x
    x = 39,246.96/180.78
  6. Step 6: Final answer
    x = 217.10

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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.