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Finding the Fourth Proportional to 220.41, 304.14 and 209.48

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Solution

The fourth proportional to 220.41, 304.14 and 209.48 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.41 : 304.14 = 209.48 : x
  2. Step 2: Convert to fraction form
    220.41/304.14 = 209.48/x
  3. Step 3: Cross multiply
    220.41x = 304.14 × 209.48
  4. Step 4: Simplify right side
    220.41x = 63,709.73
  5. Step 5: Solve for x
    x = 63,709.73/220.41
  6. Step 6: Final answer
    x = 289.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.