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Finding the Fourth Proportional to 266.45, 399.68 and 110.24

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Solution

The fourth proportional to 266.45, 399.68 and 110.24 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.45 : 399.68 = 110.24 : x
  2. Step 2: Convert to fraction form
    266.45/399.68 = 110.24/x
  3. Step 3: Cross multiply
    266.45x = 399.68 × 110.24
  4. Step 4: Simplify right side
    266.45x = 44,058.17
  5. Step 5: Solve for x
    x = 44,058.17/266.45
  6. Step 6: Final answer
    x = 165.36

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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.