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Finding the Fourth Proportional to 322.72, 445.32 and 182.83

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Solution

The fourth proportional to 322.72, 445.32 and 182.83 is: 252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 445.32 = 182.83 : x
  2. Step 2: Convert to fraction form
    322.72/445.32 = 182.83/x
  3. Step 3: Cross multiply
    322.72x = 445.32 × 182.83
  4. Step 4: Simplify right side
    322.72x = 81,417.86
  5. Step 5: Solve for x
    x = 81,417.86/322.72
  6. Step 6: Final answer
    x = 252.29

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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.