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Finding the Fourth Proportional to 263.89, 395.32 and 208.74

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Solution

The fourth proportional to 263.89, 395.32 and 208.74 is: 312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.89 : 395.32 = 208.74 : x
  2. Step 2: Convert to fraction form
    263.89/395.32 = 208.74/x
  3. Step 3: Cross multiply
    263.89x = 395.32 × 208.74
  4. Step 4: Simplify right side
    263.89x = 82,519.10
  5. Step 5: Solve for x
    x = 82,519.10/263.89
  6. Step 6: Final answer
    x = 312.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.