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Finding the Fourth Proportional to 266.79, 400.26 and 164.14

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Solution

The fourth proportional to 266.79, 400.26 and 164.14 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.79 : 400.26 = 164.14 : x
  2. Step 2: Convert to fraction form
    266.79/400.26 = 164.14/x
  3. Step 3: Cross multiply
    266.79x = 400.26 × 164.14
  4. Step 4: Simplify right side
    266.79x = 65,698.68
  5. Step 5: Solve for x
    x = 65,698.68/266.79
  6. Step 6: Final answer
    x = 246.25

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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.