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Finding the Fourth Proportional to 323.78, 485.70 and 161.46

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Solution

The fourth proportional to 323.78, 485.70 and 161.46 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.78 : 485.70 = 161.46 : x
  2. Step 2: Convert to fraction form
    323.78/485.70 = 161.46/x
  3. Step 3: Cross multiply
    323.78x = 485.70 × 161.46
  4. Step 4: Simplify right side
    323.78x = 78,421.12
  5. Step 5: Solve for x
    x = 78,421.12/323.78
  6. Step 6: Final answer
    x = 242.20

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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.