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Finding the Fourth Proportional to 371.42, 512.46 and 222.02

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Solution

The fourth proportional to 371.42, 512.46 and 222.02 is: 306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.42 : 512.46 = 222.02 : x
  2. Step 2: Convert to fraction form
    371.42/512.46 = 222.02/x
  3. Step 3: Cross multiply
    371.42x = 512.46 × 222.02
  4. Step 4: Simplify right side
    371.42x = 113,776.37
  5. Step 5: Solve for x
    x = 113,776.37/371.42
  6. Step 6: Final answer
    x = 306.33

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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.