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Finding the Fourth Proportional to 371.50, 512.69 and 224.16

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Solution

The fourth proportional to 371.50, 512.69 and 224.16 is: 309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.50 : 512.69 = 224.16 : x
  2. Step 2: Convert to fraction form
    371.50/512.69 = 224.16/x
  3. Step 3: Cross multiply
    371.50x = 512.69 × 224.16
  4. Step 4: Simplify right side
    371.50x = 114,921.55
  5. Step 5: Solve for x
    x = 114,921.55/371.50
  6. Step 6: Final answer
    x = 309.35

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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.