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Finding the Fourth Proportional to 225.09, 338.18 and 144.09

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Solution

The fourth proportional to 225.09, 338.18 and 144.09 is: 216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.09 : 338.18 = 144.09 : x
  2. Step 2: Convert to fraction form
    225.09/338.18 = 144.09/x
  3. Step 3: Cross multiply
    225.09x = 338.18 × 144.09
  4. Step 4: Simplify right side
    225.09x = 48,727.64
  5. Step 5: Solve for x
    x = 48,727.64/225.09
  6. Step 6: Final answer
    x = 216.48

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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.