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Finding the Fourth Proportional to 337.96, 466.33 and 190.60

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Solution

The fourth proportional to 337.96, 466.33 and 190.60 is: 262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.96 : 466.33 = 190.60 : x
  2. Step 2: Convert to fraction form
    337.96/466.33 = 190.60/x
  3. Step 3: Cross multiply
    337.96x = 466.33 × 190.60
  4. Step 4: Simplify right side
    337.96x = 88,880.17
  5. Step 5: Solve for x
    x = 88,880.17/337.96
  6. Step 6: Final answer
    x = 262.99

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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.