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Finding the Fourth Proportional to 216.76, 324.84 and 164.92

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Solution

The fourth proportional to 216.76, 324.84 and 164.92 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.76 : 324.84 = 164.92 : x
  2. Step 2: Convert to fraction form
    216.76/324.84 = 164.92/x
  3. Step 3: Cross multiply
    216.76x = 324.84 × 164.92
  4. Step 4: Simplify right side
    216.76x = 53,572.61
  5. Step 5: Solve for x
    x = 53,572.61/216.76
  6. Step 6: Final answer
    x = 247.15

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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.