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Finding the Fourth Proportional to 238.23, 357.48 and 165.87

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Solution

The fourth proportional to 238.23, 357.48 and 165.87 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.23 : 357.48 = 165.87 : x
  2. Step 2: Convert to fraction form
    238.23/357.48 = 165.87/x
  3. Step 3: Cross multiply
    238.23x = 357.48 × 165.87
  4. Step 4: Simplify right side
    238.23x = 59,295.21
  5. Step 5: Solve for x
    x = 59,295.21/238.23
  6. Step 6: Final answer
    x = 248.90

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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.