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Finding the Fourth Proportional to 225.08, 338.25 and 133.79

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Solution

The fourth proportional to 225.08, 338.25 and 133.79 is: 201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.08 : 338.25 = 133.79 : x
  2. Step 2: Convert to fraction form
    225.08/338.25 = 133.79/x
  3. Step 3: Cross multiply
    225.08x = 338.25 × 133.79
  4. Step 4: Simplify right side
    225.08x = 45,254.47
  5. Step 5: Solve for x
    x = 45,254.47/225.08
  6. Step 6: Final answer
    x = 201.06

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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.