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Finding the Fourth Proportional to 225.08, 338.08 and 148.15

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Solution

The fourth proportional to 225.08, 338.08 and 148.15 is: 222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.08 : 338.08 = 148.15 : x
  2. Step 2: Convert to fraction form
    225.08/338.08 = 148.15/x
  3. Step 3: Cross multiply
    225.08x = 338.08 × 148.15
  4. Step 4: Simplify right side
    225.08x = 50,086.55
  5. Step 5: Solve for x
    x = 50,086.55/225.08
  6. Step 6: Final answer
    x = 222.53

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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.