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Finding the Fourth Proportional to 233.62, 321.94 and 154.86

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Solution

The fourth proportional to 233.62, 321.94 and 154.86 is: 213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.62 : 321.94 = 154.86 : x
  2. Step 2: Convert to fraction form
    233.62/321.94 = 154.86/x
  3. Step 3: Cross multiply
    233.62x = 321.94 × 154.86
  4. Step 4: Simplify right side
    233.62x = 49,855.63
  5. Step 5: Solve for x
    x = 49,855.63/233.62
  6. Step 6: Final answer
    x = 213.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.