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Finding the Fourth Proportional to 371.51, 512.73 and 224.12

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Solution

The fourth proportional to 371.51, 512.73 and 224.12 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.51 : 512.73 = 224.12 : x
  2. Step 2: Convert to fraction form
    371.51/512.73 = 224.12/x
  3. Step 3: Cross multiply
    371.51x = 512.73 × 224.12
  4. Step 4: Simplify right side
    371.51x = 114,913.05
  5. Step 5: Solve for x
    x = 114,913.05/371.51
  6. Step 6: Final answer
    x = 309.31

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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.