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Finding the Fourth Proportional to 206.24, 309.35 and 76.24

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Solution

The fourth proportional to 206.24, 309.35 and 76.24 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.35 = 76.24 : x
  2. Step 2: Convert to fraction form
    206.24/309.35 = 76.24/x
  3. Step 3: Cross multiply
    206.24x = 309.35 × 76.24
  4. Step 4: Simplify right side
    206.24x = 23,585.42
  5. Step 5: Solve for x
    x = 23,585.42/206.24
  6. Step 6: Final answer
    x = 114.36

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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.