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Finding the Fourth Proportional to 284.48, 426.52 and 181.64

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Solution

The fourth proportional to 284.48, 426.52 and 181.64 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.48 : 426.52 = 181.64 : x
  2. Step 2: Convert to fraction form
    284.48/426.52 = 181.64/x
  3. Step 3: Cross multiply
    284.48x = 426.52 × 181.64
  4. Step 4: Simplify right side
    284.48x = 77,473.09
  5. Step 5: Solve for x
    x = 77,473.09/284.48
  6. Step 6: Final answer
    x = 272.33

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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.