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Finding the Fourth Proportional to 238.14, 356.94 and 101.26

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Solution

The fourth proportional to 238.14, 356.94 and 101.26 is: 151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 356.94 = 101.26 : x
  2. Step 2: Convert to fraction form
    238.14/356.94 = 101.26/x
  3. Step 3: Cross multiply
    238.14x = 356.94 × 101.26
  4. Step 4: Simplify right side
    238.14x = 36,143.74
  5. Step 5: Solve for x
    x = 36,143.74/238.14
  6. Step 6: Final answer
    x = 151.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.