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Finding the Fourth Proportional to 206.24, 309.65 and 84.42

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Solution

The fourth proportional to 206.24, 309.65 and 84.42 is: 126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.65 = 84.42 : x
  2. Step 2: Convert to fraction form
    206.24/309.65 = 84.42/x
  3. Step 3: Cross multiply
    206.24x = 309.65 × 84.42
  4. Step 4: Simplify right side
    206.24x = 26,140.23
  5. Step 5: Solve for x
    x = 26,140.23/206.24
  6. Step 6: Final answer
    x = 126.75

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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.