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Finding the Fourth Proportional to 225.53, 338.28 and 144.18

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Solution

The fourth proportional to 225.53, 338.28 and 144.18 is: 216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 338.28 = 144.18 : x
  2. Step 2: Convert to fraction form
    225.53/338.28 = 144.18/x
  3. Step 3: Cross multiply
    225.53x = 338.28 × 144.18
  4. Step 4: Simplify right side
    225.53x = 48,773.21
  5. Step 5: Solve for x
    x = 48,773.21/225.53
  6. Step 6: Final answer
    x = 216.27

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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.