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Finding the Fourth Proportional to 225.84, 338.49 and 165.23

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Solution

The fourth proportional to 225.84, 338.49 and 165.23 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 338.49 = 165.23 : x
  2. Step 2: Convert to fraction form
    225.84/338.49 = 165.23/x
  3. Step 3: Cross multiply
    225.84x = 338.49 × 165.23
  4. Step 4: Simplify right side
    225.84x = 55,927.01
  5. Step 5: Solve for x
    x = 55,927.01/225.84
  6. Step 6: Final answer
    x = 247.64

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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.