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Finding the Fourth Proportional to 322.71, 445.34 and 175.34

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Solution

The fourth proportional to 322.71, 445.34 and 175.34 is: 241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.71 : 445.34 = 175.34 : x
  2. Step 2: Convert to fraction form
    322.71/445.34 = 175.34/x
  3. Step 3: Cross multiply
    322.71x = 445.34 × 175.34
  4. Step 4: Simplify right side
    322.71x = 78,082.81
  5. Step 5: Solve for x
    x = 78,082.81/322.71
  6. Step 6: Final answer
    x = 241.96

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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.