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Finding the Fourth Proportional to 284.47, 426.43 and 180.42

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Solution

The fourth proportional to 284.47, 426.43 and 180.42 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.47 : 426.43 = 180.42 : x
  2. Step 2: Convert to fraction form
    284.47/426.43 = 180.42/x
  3. Step 3: Cross multiply
    284.47x = 426.43 × 180.42
  4. Step 4: Simplify right side
    284.47x = 76,936.50
  5. Step 5: Solve for x
    x = 76,936.50/284.47
  6. Step 6: Final answer
    x = 270.46

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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.