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Finding the Fourth Proportional to 249.95, 375.44 and 192.44

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Solution

The fourth proportional to 249.95, 375.44 and 192.44 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.95 : 375.44 = 192.44 : x
  2. Step 2: Convert to fraction form
    249.95/375.44 = 192.44/x
  3. Step 3: Cross multiply
    249.95x = 375.44 × 192.44
  4. Step 4: Simplify right side
    249.95x = 72,249.65
  5. Step 5: Solve for x
    x = 72,249.65/249.95
  6. Step 6: Final answer
    x = 289.05

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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.