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Finding the Fourth Proportional to 284.40, 426.33 and 111.02

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Solution

The fourth proportional to 284.40, 426.33 and 111.02 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 426.33 = 111.02 : x
  2. Step 2: Convert to fraction form
    284.40/426.33 = 111.02/x
  3. Step 3: Cross multiply
    284.40x = 426.33 × 111.02
  4. Step 4: Simplify right side
    284.40x = 47,329.02
  5. Step 5: Solve for x
    x = 47,329.02/284.40
  6. Step 6: Final answer
    x = 166.42

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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.