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Finding the Fourth Proportional to 322.79, 445.40 and 182.91

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Solution

The fourth proportional to 322.79, 445.40 and 182.91 is: 252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 445.40 = 182.91 : x
  2. Step 2: Convert to fraction form
    322.79/445.40 = 182.91/x
  3. Step 3: Cross multiply
    322.79x = 445.40 × 182.91
  4. Step 4: Simplify right side
    322.79x = 81,468.11
  5. Step 5: Solve for x
    x = 81,468.11/322.79
  6. Step 6: Final answer
    x = 252.39

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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.