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Finding the Fourth Proportional to 322.54, 445.16 and 182.66

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Solution

The fourth proportional to 322.54, 445.16 and 182.66 is: 252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.54 : 445.16 = 182.66 : x
  2. Step 2: Convert to fraction form
    322.54/445.16 = 182.66/x
  3. Step 3: Cross multiply
    322.54x = 445.16 × 182.66
  4. Step 4: Simplify right side
    322.54x = 81,312.01
  5. Step 5: Solve for x
    x = 81,312.01/322.54
  6. Step 6: Final answer
    x = 252.10

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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.