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Finding the Fourth Proportional to 266.29, 399.49 and 110.11

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Solution

The fourth proportional to 266.29, 399.49 and 110.11 is: 165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.29 : 399.49 = 110.11 : x
  2. Step 2: Convert to fraction form
    266.29/399.49 = 110.11/x
  3. Step 3: Cross multiply
    266.29x = 399.49 × 110.11
  4. Step 4: Simplify right side
    266.29x = 43,987.84
  5. Step 5: Solve for x
    x = 43,987.84/266.29
  6. Step 6: Final answer
    x = 165.19

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Why These Related Problems?

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