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Finding the Fourth Proportional to 226.47, 339.62 and 89.55

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Solution

The fourth proportional to 226.47, 339.62 and 89.55 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.47 : 339.62 = 89.55 : x
  2. Step 2: Convert to fraction form
    226.47/339.62 = 89.55/x
  3. Step 3: Cross multiply
    226.47x = 339.62 × 89.55
  4. Step 4: Simplify right side
    226.47x = 30,412.52
  5. Step 5: Solve for x
    x = 30,412.52/226.47
  6. Step 6: Final answer
    x = 134.29

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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.