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Finding the Fourth Proportional to 322.98, 445.69 and 175.61

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Solution

The fourth proportional to 322.98, 445.69 and 175.61 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 445.69 = 175.61 : x
  2. Step 2: Convert to fraction form
    322.98/445.69 = 175.61/x
  3. Step 3: Cross multiply
    322.98x = 445.69 × 175.61
  4. Step 4: Simplify right side
    322.98x = 78,266.62
  5. Step 5: Solve for x
    x = 78,266.62/322.98
  6. Step 6: Final answer
    x = 242.33

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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.