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Finding the Fourth Proportional to 371.45, 558.18 and 198.24

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Solution

The fourth proportional to 371.45, 558.18 and 198.24 is: 297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.45 : 558.18 = 198.24 : x
  2. Step 2: Convert to fraction form
    371.45/558.18 = 198.24/x
  3. Step 3: Cross multiply
    371.45x = 558.18 × 198.24
  4. Step 4: Simplify right side
    371.45x = 110,650.81
  5. Step 5: Solve for x
    x = 110,650.81/371.45
  6. Step 6: Final answer
    x = 297.89

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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.