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Finding the Fourth Proportional to 238.24, 357.09 and 101.26

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Solution

The fourth proportional to 238.24, 357.09 and 101.26 is: 151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.24 : 357.09 = 101.26 : x
  2. Step 2: Convert to fraction form
    238.24/357.09 = 101.26/x
  3. Step 3: Cross multiply
    238.24x = 357.09 × 101.26
  4. Step 4: Simplify right side
    238.24x = 36,158.93
  5. Step 5: Solve for x
    x = 36,158.93/238.24
  6. Step 6: Final answer
    x = 151.78

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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.