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Finding the Fourth Proportional to 371.47, 512.54 and 216.13

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Solution

The fourth proportional to 371.47, 512.54 and 216.13 is: 298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.47 : 512.54 = 216.13 : x
  2. Step 2: Convert to fraction form
    371.47/512.54 = 216.13/x
  3. Step 3: Cross multiply
    371.47x = 512.54 × 216.13
  4. Step 4: Simplify right side
    371.47x = 110,775.27
  5. Step 5: Solve for x
    x = 110,775.27/371.47
  6. Step 6: Final answer
    x = 298.21

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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.