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Finding the Fourth Proportional to 262.86, 394.11 and 154.59

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Solution

The fourth proportional to 262.86, 394.11 and 154.59 is: 231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.86 : 394.11 = 154.59 : x
  2. Step 2: Convert to fraction form
    262.86/394.11 = 154.59/x
  3. Step 3: Cross multiply
    262.86x = 394.11 × 154.59
  4. Step 4: Simplify right side
    262.86x = 60,925.46
  5. Step 5: Solve for x
    x = 60,925.46/262.86
  6. Step 6: Final answer
    x = 231.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.