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Finding the Fourth Proportional to 337.88, 466.27 and 182.63

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Solution

The fourth proportional to 337.88, 466.27 and 182.63 is: 252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.88 : 466.27 = 182.63 : x
  2. Step 2: Convert to fraction form
    337.88/466.27 = 182.63/x
  3. Step 3: Cross multiply
    337.88x = 466.27 × 182.63
  4. Step 4: Simplify right side
    337.88x = 85,152.10
  5. Step 5: Solve for x
    x = 85,152.10/337.88
  6. Step 6: Final answer
    x = 252.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.