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Finding the Fourth Proportional to 371.86, 513.12 and 224.70

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Solution

The fourth proportional to 371.86, 513.12 and 224.70 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.86 : 513.12 = 224.70 : x
  2. Step 2: Convert to fraction form
    371.86/513.12 = 224.70/x
  3. Step 3: Cross multiply
    371.86x = 513.12 × 224.70
  4. Step 4: Simplify right side
    371.86x = 115,298.06
  5. Step 5: Solve for x
    x = 115,298.06/371.86
  6. Step 6: Final answer
    x = 310.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.