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Finding the Fourth Proportional to 220.57, 328.47 and 219.49

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Solution

The fourth proportional to 220.57, 328.47 and 219.49 is: 326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.57 : 328.47 = 219.49 : x
  2. Step 2: Convert to fraction form
    220.57/328.47 = 219.49/x
  3. Step 3: Cross multiply
    220.57x = 328.47 × 219.49
  4. Step 4: Simplify right side
    220.57x = 72,095.88
  5. Step 5: Solve for x
    x = 72,095.88/220.57
  6. Step 6: Final answer
    x = 326.86

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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.