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Finding the Fourth Proportional to 233.87, 350.60 and 165.83

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Solution

The fourth proportional to 233.87, 350.60 and 165.83 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.87 : 350.60 = 165.83 : x
  2. Step 2: Convert to fraction form
    233.87/350.60 = 165.83/x
  3. Step 3: Cross multiply
    233.87x = 350.60 × 165.83
  4. Step 4: Simplify right side
    233.87x = 58,137.42
  5. Step 5: Solve for x
    x = 58,137.42/233.87
  6. Step 6: Final answer
    x = 248.59

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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.