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Finding the Fourth Proportional to 284.62, 426.93 and 113.50

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Solution

The fourth proportional to 284.62, 426.93 and 113.50 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.62 : 426.93 = 113.50 : x
  2. Step 2: Convert to fraction form
    284.62/426.93 = 113.50/x
  3. Step 3: Cross multiply
    284.62x = 426.93 × 113.50
  4. Step 4: Simplify right side
    284.62x = 48,456.56
  5. Step 5: Solve for x
    x = 48,456.56/284.62
  6. Step 6: Final answer
    x = 170.25

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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.