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Finding the Fourth Proportional to 371.98, 557.13 and 198.34

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Solution

The fourth proportional to 371.98, 557.13 and 198.34 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.98 : 557.13 = 198.34 : x
  2. Step 2: Convert to fraction form
    371.98/557.13 = 198.34/x
  3. Step 3: Cross multiply
    371.98x = 557.13 × 198.34
  4. Step 4: Simplify right side
    371.98x = 110,501.16
  5. Step 5: Solve for x
    x = 110,501.16/371.98
  6. Step 6: Final answer
    x = 297.06

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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.