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Finding the Fourth Proportional to 372.42, 558.06 and 199.11

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Solution

The fourth proportional to 372.42, 558.06 and 199.11 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.42 : 558.06 = 199.11 : x
  2. Step 2: Convert to fraction form
    372.42/558.06 = 199.11/x
  3. Step 3: Cross multiply
    372.42x = 558.06 × 199.11
  4. Step 4: Simplify right side
    372.42x = 111,114.83
  5. Step 5: Solve for x
    x = 111,114.83/372.42
  6. Step 6: Final answer
    x = 298.36

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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.