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Finding the Fourth Proportional to 371.80, 513.08 and 224.48

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Solution

The fourth proportional to 371.80, 513.08 and 224.48 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.80 : 513.08 = 224.48 : x
  2. Step 2: Convert to fraction form
    371.80/513.08 = 224.48/x
  3. Step 3: Cross multiply
    371.80x = 513.08 × 224.48
  4. Step 4: Simplify right side
    371.80x = 115,176.20
  5. Step 5: Solve for x
    x = 115,176.20/371.80
  6. Step 6: Final answer
    x = 309.78

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