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Finding the Fourth Proportional to 148.92, 222.88 and 118.24

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Solution

The fourth proportional to 148.92, 222.88 and 118.24 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.92 : 222.88 = 118.24 : x
  2. Step 2: Convert to fraction form
    148.92/222.88 = 118.24/x
  3. Step 3: Cross multiply
    148.92x = 222.88 × 118.24
  4. Step 4: Simplify right side
    148.92x = 26,353.33
  5. Step 5: Solve for x
    x = 26,353.33/148.92
  6. Step 6: Final answer
    x = 176.96

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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.