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Finding the Fourth Proportional to 284.52, 426.20 and 174.49

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Solution

The fourth proportional to 284.52, 426.20 and 174.49 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 426.20 = 174.49 : x
  2. Step 2: Convert to fraction form
    284.52/426.20 = 174.49/x
  3. Step 3: Cross multiply
    284.52x = 426.20 × 174.49
  4. Step 4: Simplify right side
    284.52x = 74,365.54
  5. Step 5: Solve for x
    x = 74,365.54/284.52
  6. Step 6: Final answer
    x = 261.37

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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.