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Finding the Fourth Proportional to 266, 398.84 and 157.68

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Solution

The fourth proportional to 266, 398.84 and 157.68 is: 236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266 : 398.84 = 157.68 : x
  2. Step 2: Convert to fraction form
    266/398.84 = 157.68/x
  3. Step 3: Cross multiply
    266x = 398.84 × 157.68
  4. Step 4: Simplify right side
    266x = 62,889.09
  5. Step 5: Solve for x
    x = 62,889.09/266
  6. Step 6: Final answer
    x = 236.43

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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.