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Finding the Fourth Proportional to 233.20, 350.34 and 185.68

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Solution

The fourth proportional to 233.20, 350.34 and 185.68 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 350.34 = 185.68 : x
  2. Step 2: Convert to fraction form
    233.20/350.34 = 185.68/x
  3. Step 3: Cross multiply
    233.20x = 350.34 × 185.68
  4. Step 4: Simplify right side
    233.20x = 65,051.13
  5. Step 5: Solve for x
    x = 65,051.13/233.20
  6. Step 6: Final answer
    x = 278.95

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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.