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Finding the Fourth Proportional to 372.92, 559.44 and 190.24

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Solution

The fourth proportional to 372.92, 559.44 and 190.24 is: 285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.92 : 559.44 = 190.24 : x
  2. Step 2: Convert to fraction form
    372.92/559.44 = 190.24/x
  3. Step 3: Cross multiply
    372.92x = 559.44 × 190.24
  4. Step 4: Simplify right side
    372.92x = 106,427.87
  5. Step 5: Solve for x
    x = 106,427.87/372.92
  6. Step 6: Final answer
    x = 285.39

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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.