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Finding the Fourth Proportional to 371.22, 557.16 and 198.02

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Solution

The fourth proportional to 371.22, 557.16 and 198.02 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.22 : 557.16 = 198.02 : x
  2. Step 2: Convert to fraction form
    371.22/557.16 = 198.02/x
  3. Step 3: Cross multiply
    371.22x = 557.16 × 198.02
  4. Step 4: Simplify right side
    371.22x = 110,328.82
  5. Step 5: Solve for x
    x = 110,328.82/371.22
  6. Step 6: Final answer
    x = 297.21

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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.