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Finding the Fourth Proportional to 322.84, 445.50 and 175.46

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Solution

The fourth proportional to 322.84, 445.50 and 175.46 is: 242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.84 : 445.50 = 175.46 : x
  2. Step 2: Convert to fraction form
    322.84/445.50 = 175.46/x
  3. Step 3: Cross multiply
    322.84x = 445.50 × 175.46
  4. Step 4: Simplify right side
    322.84x = 78,167.43
  5. Step 5: Solve for x
    x = 78,167.43/322.84
  6. Step 6: Final answer
    x = 242.12

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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.