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Finding the Fourth Proportional to 225.43, 338.14 and 122.69

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Solution

The fourth proportional to 225.43, 338.14 and 122.69 is: 184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.43 : 338.14 = 122.69 : x
  2. Step 2: Convert to fraction form
    225.43/338.14 = 122.69/x
  3. Step 3: Cross multiply
    225.43x = 338.14 × 122.69
  4. Step 4: Simplify right side
    225.43x = 41,484.67
  5. Step 5: Solve for x
    x = 41,484.67/225.43
  6. Step 6: Final answer
    x = 184.03

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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.