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Finding the Fourth Proportional to 220.56, 328.51 and 209.00

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Solution

The fourth proportional to 220.56, 328.51 and 209.00 is: 311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.56 : 328.51 = 209.00 : x
  2. Step 2: Convert to fraction form
    220.56/328.51 = 209.00/x
  3. Step 3: Cross multiply
    220.56x = 328.51 × 209.00
  4. Step 4: Simplify right side
    220.56x = 68,658.55
  5. Step 5: Solve for x
    x = 68,658.55/220.56
  6. Step 6: Final answer
    x = 311.29

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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.