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Finding the Fourth Proportional to 284.16, 426.30 and 110.83

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Solution

The fourth proportional to 284.16, 426.30 and 110.83 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 426.30 = 110.83 : x
  2. Step 2: Convert to fraction form
    284.16/426.30 = 110.83/x
  3. Step 3: Cross multiply
    284.16x = 426.30 × 110.83
  4. Step 4: Simplify right side
    284.16x = 47,246.83
  5. Step 5: Solve for x
    x = 47,246.83/284.16
  6. Step 6: Final answer
    x = 166.27

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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.