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Finding the Fourth Proportional to 225.80, 338.92 and 134.60

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Solution

The fourth proportional to 225.80, 338.92 and 134.60 is: 202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.80 : 338.92 = 134.60 : x
  2. Step 2: Convert to fraction form
    225.80/338.92 = 134.60/x
  3. Step 3: Cross multiply
    225.80x = 338.92 × 134.60
  4. Step 4: Simplify right side
    225.80x = 45,618.63
  5. Step 5: Solve for x
    x = 45,618.63/225.80
  6. Step 6: Final answer
    x = 202.03

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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.