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Finding the Fourth Proportional to 155.91, 233.79 and 154.11

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Solution

The fourth proportional to 155.91, 233.79 and 154.11 is: 231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.91 : 233.79 = 154.11 : x
  2. Step 2: Convert to fraction form
    155.91/233.79 = 154.11/x
  3. Step 3: Cross multiply
    155.91x = 233.79 × 154.11
  4. Step 4: Simplify right side
    155.91x = 36,029.38
  5. Step 5: Solve for x
    x = 36,029.38/155.91
  6. Step 6: Final answer
    x = 231.09

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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.