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Finding the Fourth Proportional to 253.24, 378.45 and 233.78

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Solution

The fourth proportional to 253.24, 378.45 and 233.78 is: 349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 378.45 = 233.78 : x
  2. Step 2: Convert to fraction form
    253.24/378.45 = 233.78/x
  3. Step 3: Cross multiply
    253.24x = 378.45 × 233.78
  4. Step 4: Simplify right side
    253.24x = 88,474.04
  5. Step 5: Solve for x
    x = 88,474.04/253.24
  6. Step 6: Final answer
    x = 349.37

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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.