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Finding the Fourth Proportional to 284.77, 427.85 and 182.26

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Solution

The fourth proportional to 284.77, 427.85 and 182.26 is: 273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.77 : 427.85 = 182.26 : x
  2. Step 2: Convert to fraction form
    284.77/427.85 = 182.26/x
  3. Step 3: Cross multiply
    284.77x = 427.85 × 182.26
  4. Step 4: Simplify right side
    284.77x = 77,979.04
  5. Step 5: Solve for x
    x = 77,979.04/284.77
  6. Step 6: Final answer
    x = 273.83

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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.