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Finding the Fourth Proportional to 233.54, 350.88 and 165.26

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Solution

The fourth proportional to 233.54, 350.88 and 165.26 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.54 : 350.88 = 165.26 : x
  2. Step 2: Convert to fraction form
    233.54/350.88 = 165.26/x
  3. Step 3: Cross multiply
    233.54x = 350.88 × 165.26
  4. Step 4: Simplify right side
    233.54x = 57,986.43
  5. Step 5: Solve for x
    x = 57,986.43/233.54
  6. Step 6: Final answer
    x = 248.29

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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.