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Finding the Fourth Proportional to 284.23, 426.33 and 91.86

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Solution

The fourth proportional to 284.23, 426.33 and 91.86 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 426.33 = 91.86 : x
  2. Step 2: Convert to fraction form
    284.23/426.33 = 91.86/x
  3. Step 3: Cross multiply
    284.23x = 426.33 × 91.86
  4. Step 4: Simplify right side
    284.23x = 39,162.67
  5. Step 5: Solve for x
    x = 39,162.67/284.23
  6. Step 6: Final answer
    x = 137.79

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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.