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Finding the Fourth Proportional to 206.17, 307.66 and 195.24

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Solution

The fourth proportional to 206.17, 307.66 and 195.24 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.17 : 307.66 = 195.24 : x
  2. Step 2: Convert to fraction form
    206.17/307.66 = 195.24/x
  3. Step 3: Cross multiply
    206.17x = 307.66 × 195.24
  4. Step 4: Simplify right side
    206.17x = 60,067.54
  5. Step 5: Solve for x
    x = 60,067.54/206.17
  6. Step 6: Final answer
    x = 291.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.