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Finding the Fourth Proportional to 337.78, 466.13 and 190.42

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Solution

The fourth proportional to 337.78, 466.13 and 190.42 is: 262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 466.13 = 190.42 : x
  2. Step 2: Convert to fraction form
    337.78/466.13 = 190.42/x
  3. Step 3: Cross multiply
    337.78x = 466.13 × 190.42
  4. Step 4: Simplify right side
    337.78x = 88,758.14
  5. Step 5: Solve for x
    x = 88,758.14/337.78
  6. Step 6: Final answer
    x = 262.77

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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.