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Finding the Fourth Proportional to 371.50, 512.75 and 216.25

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Solution

The fourth proportional to 371.50, 512.75 and 216.25 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.50 : 512.75 = 216.25 : x
  2. Step 2: Convert to fraction form
    371.50/512.75 = 216.25/x
  3. Step 3: Cross multiply
    371.50x = 512.75 × 216.25
  4. Step 4: Simplify right side
    371.50x = 110,882.19
  5. Step 5: Solve for x
    x = 110,882.19/371.50
  6. Step 6: Final answer
    x = 298.47

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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.