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Finding the Fourth Proportional to 284.24, 426.38 and 111.05

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Solution

The fourth proportional to 284.24, 426.38 and 111.05 is: 166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.24 : 426.38 = 111.05 : x
  2. Step 2: Convert to fraction form
    284.24/426.38 = 111.05/x
  3. Step 3: Cross multiply
    284.24x = 426.38 × 111.05
  4. Step 4: Simplify right side
    284.24x = 47,349.50
  5. Step 5: Solve for x
    x = 47,349.50/284.24
  6. Step 6: Final answer
    x = 166.58

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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.