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Finding the Fourth Proportional to 266.12, 398.94 and 95

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Solution

The fourth proportional to 266.12, 398.94 and 95 is: 142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.12 : 398.94 = 95 : x
  2. Step 2: Convert to fraction form
    266.12/398.94 = 95/x
  3. Step 3: Cross multiply
    266.12x = 398.94 × 95
  4. Step 4: Simplify right side
    266.12x = 37,899.30
  5. Step 5: Solve for x
    x = 37,899.30/266.12
  6. Step 6: Final answer
    x = 142.41

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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.