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Finding the Fourth Proportional to 206.08, 282.71 and 184.24

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Solution

The fourth proportional to 206.08, 282.71 and 184.24 is: 252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 282.71 = 184.24 : x
  2. Step 2: Convert to fraction form
    206.08/282.71 = 184.24/x
  3. Step 3: Cross multiply
    206.08x = 282.71 × 184.24
  4. Step 4: Simplify right side
    206.08x = 52,086.49
  5. Step 5: Solve for x
    x = 52,086.49/206.08
  6. Step 6: Final answer
    x = 252.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.