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Finding the Fourth Proportional to 322.89, 445.61 and 184.89

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Solution

The fourth proportional to 322.89, 445.61 and 184.89 is: 255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.89 : 445.61 = 184.89 : x
  2. Step 2: Convert to fraction form
    322.89/445.61 = 184.89/x
  3. Step 3: Cross multiply
    322.89x = 445.61 × 184.89
  4. Step 4: Simplify right side
    322.89x = 82,387.91
  5. Step 5: Solve for x
    x = 82,387.91/322.89
  6. Step 6: Final answer
    x = 255.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.