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Finding the Fourth Proportional to 221.13, 330.23 and 209.29

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Solution

The fourth proportional to 221.13, 330.23 and 209.29 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.13 : 330.23 = 209.29 : x
  2. Step 2: Convert to fraction form
    221.13/330.23 = 209.29/x
  3. Step 3: Cross multiply
    221.13x = 330.23 × 209.29
  4. Step 4: Simplify right side
    221.13x = 69,113.84
  5. Step 5: Solve for x
    x = 69,113.84/221.13
  6. Step 6: Final answer
    x = 312.55

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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.