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Finding the Fourth Proportional to 225.21, 338.28 and 219.13

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Solution

The fourth proportional to 225.21, 338.28 and 219.13 is: 329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.21 : 338.28 = 219.13 : x
  2. Step 2: Convert to fraction form
    225.21/338.28 = 219.13/x
  3. Step 3: Cross multiply
    225.21x = 338.28 × 219.13
  4. Step 4: Simplify right side
    225.21x = 74,127.30
  5. Step 5: Solve for x
    x = 74,127.30/225.21
  6. Step 6: Final answer
    x = 329.15

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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.