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Finding the Fourth Proportional to 225.98, 338.96 and 89.02

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Solution

The fourth proportional to 225.98, 338.96 and 89.02 is: 133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.98 : 338.96 = 89.02 : x
  2. Step 2: Convert to fraction form
    225.98/338.96 = 89.02/x
  3. Step 3: Cross multiply
    225.98x = 338.96 × 89.02
  4. Step 4: Simplify right side
    225.98x = 30,174.22
  5. Step 5: Solve for x
    x = 30,174.22/225.98
  6. Step 6: Final answer
    x = 133.53

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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.