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Finding the Fourth Proportional to 371.83, 513.12 and 224.47

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Solution

The fourth proportional to 371.83, 513.12 and 224.47 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.83 : 513.12 = 224.47 : x
  2. Step 2: Convert to fraction form
    371.83/513.12 = 224.47/x
  3. Step 3: Cross multiply
    371.83x = 513.12 × 224.47
  4. Step 4: Simplify right side
    371.83x = 115,178.92
  5. Step 5: Solve for x
    x = 115,178.92/371.83
  6. Step 6: Final answer
    x = 309.77

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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.