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Finding the Fourth Proportional to 272.61, 375.96 and 233.42

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Solution

The fourth proportional to 272.61, 375.96 and 233.42 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.61 : 375.96 = 233.42 : x
  2. Step 2: Convert to fraction form
    272.61/375.96 = 233.42/x
  3. Step 3: Cross multiply
    272.61x = 375.96 × 233.42
  4. Step 4: Simplify right side
    272.61x = 87,756.58
  5. Step 5: Solve for x
    x = 87,756.58/272.61
  6. Step 6: Final answer
    x = 321.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.