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Finding the Fourth Proportional to 180.48, 271.13 and 146.46

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Solution

The fourth proportional to 180.48, 271.13 and 146.46 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 271.13 = 146.46 : x
  2. Step 2: Convert to fraction form
    180.48/271.13 = 146.46/x
  3. Step 3: Cross multiply
    180.48x = 271.13 × 146.46
  4. Step 4: Simplify right side
    180.48x = 39,708.97
  5. Step 5: Solve for x
    x = 39,708.97/180.48
  6. Step 6: Final answer
    x = 220.02

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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.