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Finding the Fourth Proportional to 246.78, 369.54 and 233.42

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Solution

The fourth proportional to 246.78, 369.54 and 233.42 is: 349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.78 : 369.54 = 233.42 : x
  2. Step 2: Convert to fraction form
    246.78/369.54 = 233.42/x
  3. Step 3: Cross multiply
    246.78x = 369.54 × 233.42
  4. Step 4: Simplify right side
    246.78x = 86,258.03
  5. Step 5: Solve for x
    x = 86,258.03/246.78
  6. Step 6: Final answer
    x = 349.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.