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Finding the Fourth Proportional to 238.17, 357.17 and 122.74

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Solution

The fourth proportional to 238.17, 357.17 and 122.74 is: 184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.17 : 357.17 = 122.74 : x
  2. Step 2: Convert to fraction form
    238.17/357.17 = 122.74/x
  3. Step 3: Cross multiply
    238.17x = 357.17 × 122.74
  4. Step 4: Simplify right side
    238.17x = 43,839.05
  5. Step 5: Solve for x
    x = 43,839.05/238.17
  6. Step 6: Final answer
    x = 184.07

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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.