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Finding the Fourth Proportional to 148.52, 222.46 and 119.56

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Solution

The fourth proportional to 148.52, 222.46 and 119.56 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.52 : 222.46 = 119.56 : x
  2. Step 2: Convert to fraction form
    148.52/222.46 = 119.56/x
  3. Step 3: Cross multiply
    148.52x = 222.46 × 119.56
  4. Step 4: Simplify right side
    148.52x = 26,597.32
  5. Step 5: Solve for x
    x = 26,597.32/148.52
  6. Step 6: Final answer
    x = 179.08

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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.