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Finding the Fourth Proportional to 225.84, 338.07 and 164.96

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Solution

The fourth proportional to 225.84, 338.07 and 164.96 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 338.07 = 164.96 : x
  2. Step 2: Convert to fraction form
    225.84/338.07 = 164.96/x
  3. Step 3: Cross multiply
    225.84x = 338.07 × 164.96
  4. Step 4: Simplify right side
    225.84x = 55,766.34
  5. Step 5: Solve for x
    x = 55,766.34/225.84
  6. Step 6: Final answer
    x = 246.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.