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Finding the Fourth Proportional to 206.57, 309.83 and 62.25

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Solution

The fourth proportional to 206.57, 309.83 and 62.25 is: 93.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 309.83 = 62.25 : x
  2. Step 2: Convert to fraction form
    206.57/309.83 = 62.25/x
  3. Step 3: Cross multiply
    206.57x = 309.83 × 62.25
  4. Step 4: Simplify right side
    206.57x = 19,286.61
  5. Step 5: Solve for x
    x = 19,286.61/206.57
  6. Step 6: Final answer
    x = 93.37

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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.