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Finding the Fourth Proportional to 263.27, 395.07 and 118.99

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Solution

The fourth proportional to 263.27, 395.07 and 118.99 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.27 : 395.07 = 118.99 : x
  2. Step 2: Convert to fraction form
    263.27/395.07 = 118.99/x
  3. Step 3: Cross multiply
    263.27x = 395.07 × 118.99
  4. Step 4: Simplify right side
    263.27x = 47,007.11
  5. Step 5: Solve for x
    x = 47,007.11/263.27
  6. Step 6: Final answer
    x = 178.55

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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.