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Finding the Fourth Proportional to 334.78, 462.02 and 185.42

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Solution

The fourth proportional to 334.78, 462.02 and 185.42 is: 255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.78 : 462.02 = 185.42 : x
  2. Step 2: Convert to fraction form
    334.78/462.02 = 185.42/x
  3. Step 3: Cross multiply
    334.78x = 462.02 × 185.42
  4. Step 4: Simplify right side
    334.78x = 85,667.63
  5. Step 5: Solve for x
    x = 85,667.63/334.78
  6. Step 6: Final answer
    x = 255.89

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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.