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Finding the Fourth Proportional to 315.92, 472.66 and 224.80

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Solution

The fourth proportional to 315.92, 472.66 and 224.80 is: 336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.92 : 472.66 = 224.80 : x
  2. Step 2: Convert to fraction form
    315.92/472.66 = 224.80/x
  3. Step 3: Cross multiply
    315.92x = 472.66 × 224.80
  4. Step 4: Simplify right side
    315.92x = 106,253.97
  5. Step 5: Solve for x
    x = 106,253.97/315.92
  6. Step 6: Final answer
    x = 336.33

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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.