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Finding the Fourth Proportional to 252.72, 377.26 and 233.43

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Solution

The fourth proportional to 252.72, 377.26 and 233.43 is: 348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 377.26 = 233.43 : x
  2. Step 2: Convert to fraction form
    252.72/377.26 = 233.43/x
  3. Step 3: Cross multiply
    252.72x = 377.26 × 233.43
  4. Step 4: Simplify right side
    252.72x = 88,063.93
  5. Step 5: Solve for x
    x = 88,063.93/252.72
  6. Step 6: Final answer
    x = 348.46

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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.