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Finding the Fourth Proportional to 371.12, 512.16 and 215.88

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Solution

The fourth proportional to 371.12, 512.16 and 215.88 is: 297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.12 : 512.16 = 215.88 : x
  2. Step 2: Convert to fraction form
    371.12/512.16 = 215.88/x
  3. Step 3: Cross multiply
    371.12x = 512.16 × 215.88
  4. Step 4: Simplify right side
    371.12x = 110,565.10
  5. Step 5: Solve for x
    x = 110,565.10/371.12
  6. Step 6: Final answer
    x = 297.92

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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.