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Finding the Fourth Proportional to 249.89, 375.44 and 242.60

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Solution

The fourth proportional to 249.89, 375.44 and 242.60 is: 364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.89 : 375.44 = 242.60 : x
  2. Step 2: Convert to fraction form
    249.89/375.44 = 242.60/x
  3. Step 3: Cross multiply
    249.89x = 375.44 × 242.60
  4. Step 4: Simplify right side
    249.89x = 91,078.65
  5. Step 5: Solve for x
    x = 91,078.65/249.89
  6. Step 6: Final answer
    x = 364.48

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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.