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Finding the Fourth Proportional to 244.14, 365.24 and 188.86

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Solution

The fourth proportional to 244.14, 365.24 and 188.86 is: 282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.14 : 365.24 = 188.86 : x
  2. Step 2: Convert to fraction form
    244.14/365.24 = 188.86/x
  3. Step 3: Cross multiply
    244.14x = 365.24 × 188.86
  4. Step 4: Simplify right side
    244.14x = 68,979.23
  5. Step 5: Solve for x
    x = 68,979.23/244.14
  6. Step 6: Final answer
    x = 282.54

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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.