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Finding the Fourth Proportional to 263.69, 395.27 and 99.11

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Solution

The fourth proportional to 263.69, 395.27 and 99.11 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.69 : 395.27 = 99.11 : x
  2. Step 2: Convert to fraction form
    263.69/395.27 = 99.11/x
  3. Step 3: Cross multiply
    263.69x = 395.27 × 99.11
  4. Step 4: Simplify right side
    263.69x = 39,176.01
  5. Step 5: Solve for x
    x = 39,176.01/263.69
  6. Step 6: Final answer
    x = 148.57

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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.