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Finding the Fourth Proportional to 239.55, 329.93 and 206.74

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Solution

The fourth proportional to 239.55, 329.93 and 206.74 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.55 : 329.93 = 206.74 : x
  2. Step 2: Convert to fraction form
    239.55/329.93 = 206.74/x
  3. Step 3: Cross multiply
    239.55x = 329.93 × 206.74
  4. Step 4: Simplify right side
    239.55x = 68,209.73
  5. Step 5: Solve for x
    x = 68,209.73/239.55
  6. Step 6: Final answer
    x = 284.74

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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.