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Finding the Fourth Proportional to 148.56, 222.80 and 75.36

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Solution

The fourth proportional to 148.56, 222.80 and 75.36 is: 113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.56 : 222.80 = 75.36 : x
  2. Step 2: Convert to fraction form
    148.56/222.80 = 75.36/x
  3. Step 3: Cross multiply
    148.56x = 222.80 × 75.36
  4. Step 4: Simplify right side
    148.56x = 16,790.21
  5. Step 5: Solve for x
    x = 16,790.21/148.56
  6. Step 6: Final answer
    x = 113.02

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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.