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Finding the Fourth Proportional to 148.20, 222.46 and 76.04

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Solution

The fourth proportional to 148.20, 222.46 and 76.04 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.20 : 222.46 = 76.04 : x
  2. Step 2: Convert to fraction form
    148.20/222.46 = 76.04/x
  3. Step 3: Cross multiply
    148.20x = 222.46 × 76.04
  4. Step 4: Simplify right side
    148.20x = 16,915.86
  5. Step 5: Solve for x
    x = 16,915.86/148.20
  6. Step 6: Final answer
    x = 114.14

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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.