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Finding the Fourth Proportional to 272.86, 408.42 and 150.82

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Solution

The fourth proportional to 272.86, 408.42 and 150.82 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 408.42 = 150.82 : x
  2. Step 2: Convert to fraction form
    272.86/408.42 = 150.82/x
  3. Step 3: Cross multiply
    272.86x = 408.42 × 150.82
  4. Step 4: Simplify right side
    272.86x = 61,597.90
  5. Step 5: Solve for x
    x = 61,597.90/272.86
  6. Step 6: Final answer
    x = 225.75

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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.