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Finding the Fourth Proportional to 146.16, 218.88 and 132.48

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Solution

The fourth proportional to 146.16, 218.88 and 132.48 is: 198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 218.88 = 132.48 : x
  2. Step 2: Convert to fraction form
    146.16/218.88 = 132.48/x
  3. Step 3: Cross multiply
    146.16x = 218.88 × 132.48
  4. Step 4: Simplify right side
    146.16x = 28,997.22
  5. Step 5: Solve for x
    x = 28,997.22/146.16
  6. Step 6: Final answer
    x = 198.39

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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.