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Finding the Fourth Proportional to 238.53, 357.36 and 165.41

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Solution

The fourth proportional to 238.53, 357.36 and 165.41 is: 247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.53 : 357.36 = 165.41 : x
  2. Step 2: Convert to fraction form
    238.53/357.36 = 165.41/x
  3. Step 3: Cross multiply
    238.53x = 357.36 × 165.41
  4. Step 4: Simplify right side
    238.53x = 59,109.13
  5. Step 5: Solve for x
    x = 59,109.13/238.53
  6. Step 6: Final answer
    x = 247.81

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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.