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Finding the Fourth Proportional to 272.23, 406.61 and 233.82

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Solution

The fourth proportional to 272.23, 406.61 and 233.82 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.23 : 406.61 = 233.82 : x
  2. Step 2: Convert to fraction form
    272.23/406.61 = 233.82/x
  3. Step 3: Cross multiply
    272.23x = 406.61 × 233.82
  4. Step 4: Simplify right side
    272.23x = 95,073.55
  5. Step 5: Solve for x
    x = 95,073.55/272.23
  6. Step 6: Final answer
    x = 349.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.