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Finding the Fourth Proportional to 284.16, 426.24 and 91.78

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Solution

The fourth proportional to 284.16, 426.24 and 91.78 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 426.24 = 91.78 : x
  2. Step 2: Convert to fraction form
    284.16/426.24 = 91.78/x
  3. Step 3: Cross multiply
    284.16x = 426.24 × 91.78
  4. Step 4: Simplify right side
    284.16x = 39,120.31
  5. Step 5: Solve for x
    x = 39,120.31/284.16
  6. Step 6: Final answer
    x = 137.67

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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.