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Finding the Fourth Proportional to 372.54, 558.59 and 199.29

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Solution

The fourth proportional to 372.54, 558.59 and 199.29 is: 298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.54 : 558.59 = 199.29 : x
  2. Step 2: Convert to fraction form
    372.54/558.59 = 199.29/x
  3. Step 3: Cross multiply
    372.54x = 558.59 × 199.29
  4. Step 4: Simplify right side
    372.54x = 111,320.40
  5. Step 5: Solve for x
    x = 111,320.40/372.54
  6. Step 6: Final answer
    x = 298.81

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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.