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Finding the Fourth Proportional to 225.12, 335.76 and 219.36

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Solution

The fourth proportional to 225.12, 335.76 and 219.36 is: 327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.12 : 335.76 = 219.36 : x
  2. Step 2: Convert to fraction form
    225.12/335.76 = 219.36/x
  3. Step 3: Cross multiply
    225.12x = 335.76 × 219.36
  4. Step 4: Simplify right side
    225.12x = 73,652.31
  5. Step 5: Solve for x
    x = 73,652.31/225.12
  6. Step 6: Final answer
    x = 327.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.