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Finding the Fourth Proportional to 322.52, 445.08 and 184.52

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Solution

The fourth proportional to 322.52, 445.08 and 184.52 is: 254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.52 : 445.08 = 184.52 : x
  2. Step 2: Convert to fraction form
    322.52/445.08 = 184.52/x
  3. Step 3: Cross multiply
    322.52x = 445.08 × 184.52
  4. Step 4: Simplify right side
    322.52x = 82,126.16
  5. Step 5: Solve for x
    x = 82,126.16/322.52
  6. Step 6: Final answer
    x = 254.64

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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.