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Finding the Fourth Proportional to 253.72, 378.75 and 234.43

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Solution

The fourth proportional to 253.72, 378.75 and 234.43 is: 349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.72 : 378.75 = 234.43 : x
  2. Step 2: Convert to fraction form
    253.72/378.75 = 234.43/x
  3. Step 3: Cross multiply
    253.72x = 378.75 × 234.43
  4. Step 4: Simplify right side
    253.72x = 88,790.36
  5. Step 5: Solve for x
    x = 88,790.36/253.72
  6. Step 6: Final answer
    x = 349.95

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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.