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Finding the Fourth Proportional to 324.10, 485.88 and 161.74

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Solution

The fourth proportional to 324.10, 485.88 and 161.74 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.10 : 485.88 = 161.74 : x
  2. Step 2: Convert to fraction form
    324.10/485.88 = 161.74/x
  3. Step 3: Cross multiply
    324.10x = 485.88 × 161.74
  4. Step 4: Simplify right side
    324.10x = 78,586.23
  5. Step 5: Solve for x
    x = 78,586.23/324.10
  6. Step 6: Final answer
    x = 242.48

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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.