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Finding the Fourth Proportional to 312.92, 468.16 and 209.71

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Solution

The fourth proportional to 312.92, 468.16 and 209.71 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.92 : 468.16 = 209.71 : x
  2. Step 2: Convert to fraction form
    312.92/468.16 = 209.71/x
  3. Step 3: Cross multiply
    312.92x = 468.16 × 209.71
  4. Step 4: Simplify right side
    312.92x = 98,177.83
  5. Step 5: Solve for x
    x = 98,177.83/312.92
  6. Step 6: Final answer
    x = 313.75

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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.