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Finding the Fourth Proportional to 371.40, 512.52 and 216.14

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Solution

The fourth proportional to 371.40, 512.52 and 216.14 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.40 : 512.52 = 216.14 : x
  2. Step 2: Convert to fraction form
    371.40/512.52 = 216.14/x
  3. Step 3: Cross multiply
    371.40x = 512.52 × 216.14
  4. Step 4: Simplify right side
    371.40x = 110,776.07
  5. Step 5: Solve for x
    x = 110,776.07/371.40
  6. Step 6: Final answer
    x = 298.27

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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.