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Finding the Fourth Proportional to 216.02, 323.48 and 164.18

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Solution

The fourth proportional to 216.02, 323.48 and 164.18 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 323.48 = 164.18 : x
  2. Step 2: Convert to fraction form
    216.02/323.48 = 164.18/x
  3. Step 3: Cross multiply
    216.02x = 323.48 × 164.18
  4. Step 4: Simplify right side
    216.02x = 53,108.95
  5. Step 5: Solve for x
    x = 53,108.95/216.02
  6. Step 6: Final answer
    x = 245.85

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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.