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Finding the Fourth Proportional to 284.78, 426.86 and 120.33

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Solution

The fourth proportional to 284.78, 426.86 and 120.33 is: 180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.78 : 426.86 = 120.33 : x
  2. Step 2: Convert to fraction form
    284.78/426.86 = 120.33/x
  3. Step 3: Cross multiply
    284.78x = 426.86 × 120.33
  4. Step 4: Simplify right side
    284.78x = 51,365.51
  5. Step 5: Solve for x
    x = 51,365.51/284.78
  6. Step 6: Final answer
    x = 180.37

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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.