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Finding the Fourth Proportional to 371.41, 557.45 and 198.22

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Solution

The fourth proportional to 371.41, 557.45 and 198.22 is: 297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.41 : 557.45 = 198.22 : x
  2. Step 2: Convert to fraction form
    371.41/557.45 = 198.22/x
  3. Step 3: Cross multiply
    371.41x = 557.45 × 198.22
  4. Step 4: Simplify right side
    371.41x = 110,497.74
  5. Step 5: Solve for x
    x = 110,497.74/371.41
  6. Step 6: Final answer
    x = 297.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.