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Finding the Fourth Proportional to 225.30, 309.12 and 219.18

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Solution

The fourth proportional to 225.30, 309.12 and 219.18 is: 300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.30 : 309.12 = 219.18 : x
  2. Step 2: Convert to fraction form
    225.30/309.12 = 219.18/x
  3. Step 3: Cross multiply
    225.30x = 309.12 × 219.18
  4. Step 4: Simplify right side
    225.30x = 67,752.92
  5. Step 5: Solve for x
    x = 67,752.92/225.30
  6. Step 6: Final answer
    x = 300.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.