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Finding the Fourth Proportional to 337.79, 466.20 and 190.46

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Solution

The fourth proportional to 337.79, 466.20 and 190.46 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.79 : 466.20 = 190.46 : x
  2. Step 2: Convert to fraction form
    337.79/466.20 = 190.46/x
  3. Step 3: Cross multiply
    337.79x = 466.20 × 190.46
  4. Step 4: Simplify right side
    337.79x = 88,790.12
  5. Step 5: Solve for x
    x = 88,790.12/337.79
  6. Step 6: Final answer
    x = 262.86

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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.