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Finding the Fourth Proportional to 309.24, 463.95 and 206.73

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Solution

The fourth proportional to 309.24, 463.95 and 206.73 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.24 : 463.95 = 206.73 : x
  2. Step 2: Convert to fraction form
    309.24/463.95 = 206.73/x
  3. Step 3: Cross multiply
    309.24x = 463.95 × 206.73
  4. Step 4: Simplify right side
    309.24x = 95,912.38
  5. Step 5: Solve for x
    x = 95,912.38/309.24
  6. Step 6: Final answer
    x = 310.16

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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.