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Finding the Fourth Proportional to 225.63, 338.25 and 81.25

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Solution

The fourth proportional to 225.63, 338.25 and 81.25 is: 121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.63 : 338.25 = 81.25 : x
  2. Step 2: Convert to fraction form
    225.63/338.25 = 81.25/x
  3. Step 3: Cross multiply
    225.63x = 338.25 × 81.25
  4. Step 4: Simplify right side
    225.63x = 27,482.41
  5. Step 5: Solve for x
    x = 27,482.41/225.63
  6. Step 6: Final answer
    x = 121.80

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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.