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Finding the Fourth Proportional to 265.91, 399.01 and 111.81

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Solution

The fourth proportional to 265.91, 399.01 and 111.81 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 399.01 = 111.81 : x
  2. Step 2: Convert to fraction form
    265.91/399.01 = 111.81/x
  3. Step 3: Cross multiply
    265.91x = 399.01 × 111.81
  4. Step 4: Simplify right side
    265.91x = 44,613.31
  5. Step 5: Solve for x
    x = 44,613.31/265.91
  6. Step 6: Final answer
    x = 167.78

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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.