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Finding the Fourth Proportional to 225.89, 338.64 and 104.15

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Solution

The fourth proportional to 225.89, 338.64 and 104.15 is: 156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.89 : 338.64 = 104.15 : x
  2. Step 2: Convert to fraction form
    225.89/338.64 = 104.15/x
  3. Step 3: Cross multiply
    225.89x = 338.64 × 104.15
  4. Step 4: Simplify right side
    225.89x = 35,269.36
  5. Step 5: Solve for x
    x = 35,269.36/225.89
  6. Step 6: Final answer
    x = 156.14

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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.