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Finding the Fourth Proportional to 372.09, 557.07 and 198.36

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Solution

The fourth proportional to 372.09, 557.07 and 198.36 is: 296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.09 : 557.07 = 198.36 : x
  2. Step 2: Convert to fraction form
    372.09/557.07 = 198.36/x
  3. Step 3: Cross multiply
    372.09x = 557.07 × 198.36
  4. Step 4: Simplify right side
    372.09x = 110,500.41
  5. Step 5: Solve for x
    x = 110,500.41/372.09
  6. Step 6: Final answer
    x = 296.97

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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.