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Finding the Fourth Proportional to 244.32, 365.81 and 186.80

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Solution

The fourth proportional to 244.32, 365.81 and 186.80 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.32 : 365.81 = 186.80 : x
  2. Step 2: Convert to fraction form
    244.32/365.81 = 186.80/x
  3. Step 3: Cross multiply
    244.32x = 365.81 × 186.80
  4. Step 4: Simplify right side
    244.32x = 68,330.54
  5. Step 5: Solve for x
    x = 68,330.54/244.32
  6. Step 6: Final answer
    x = 279.68

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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.