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Finding the Fourth Proportional to 220.59, 330.08 and 206.10

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Solution

The fourth proportional to 220.59, 330.08 and 206.10 is: 308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.59 : 330.08 = 206.10 : x
  2. Step 2: Convert to fraction form
    220.59/330.08 = 206.10/x
  3. Step 3: Cross multiply
    220.59x = 330.08 × 206.10
  4. Step 4: Simplify right side
    220.59x = 68,028.46
  5. Step 5: Solve for x
    x = 68,028.46/220.59
  6. Step 6: Final answer
    x = 308.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.