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Finding the Fourth Proportional to 371.34, 512.25 and 216.06

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Solution

The fourth proportional to 371.34, 512.25 and 216.06 is: 298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.34 : 512.25 = 216.06 : x
  2. Step 2: Convert to fraction form
    371.34/512.25 = 216.06/x
  3. Step 3: Cross multiply
    371.34x = 512.25 × 216.06
  4. Step 4: Simplify right side
    371.34x = 110,676.74
  5. Step 5: Solve for x
    x = 110,676.74/371.34
  6. Step 6: Final answer
    x = 298.05

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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.