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Finding the Fourth Proportional to 233.27, 350.21 and 135.86

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Solution

The fourth proportional to 233.27, 350.21 and 135.86 is: 203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.27 : 350.21 = 135.86 : x
  2. Step 2: Convert to fraction form
    233.27/350.21 = 135.86/x
  3. Step 3: Cross multiply
    233.27x = 350.21 × 135.86
  4. Step 4: Simplify right side
    233.27x = 47,577.10
  5. Step 5: Solve for x
    x = 47,577.10/233.27
  6. Step 6: Final answer
    x = 203.96

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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.