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Finding the Fourth Proportional to 216.79, 324.29 and 165.04

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Solution

The fourth proportional to 216.79, 324.29 and 165.04 is: 246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.79 : 324.29 = 165.04 : x
  2. Step 2: Convert to fraction form
    216.79/324.29 = 165.04/x
  3. Step 3: Cross multiply
    216.79x = 324.29 × 165.04
  4. Step 4: Simplify right side
    216.79x = 53,520.00
  5. Step 5: Solve for x
    x = 53,520.00/216.79
  6. Step 6: Final answer
    x = 246.87

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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.