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Finding the Fourth Proportional to 323.14, 484.34 and 160.46

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Solution

The fourth proportional to 323.14, 484.34 and 160.46 is: 240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.14 : 484.34 = 160.46 : x
  2. Step 2: Convert to fraction form
    323.14/484.34 = 160.46/x
  3. Step 3: Cross multiply
    323.14x = 484.34 × 160.46
  4. Step 4: Simplify right side
    323.14x = 77,717.20
  5. Step 5: Solve for x
    x = 77,717.20/323.14
  6. Step 6: Final answer
    x = 240.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.