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Finding the Fourth Proportional to 272.88, 408.61 and 150.98

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Solution

The fourth proportional to 272.88, 408.61 and 150.98 is: 226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.88 : 408.61 = 150.98 : x
  2. Step 2: Convert to fraction form
    272.88/408.61 = 150.98/x
  3. Step 3: Cross multiply
    272.88x = 408.61 × 150.98
  4. Step 4: Simplify right side
    272.88x = 61,689.14
  5. Step 5: Solve for x
    x = 61,689.14/272.88
  6. Step 6: Final answer
    x = 226.07

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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.