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Finding the Fourth Proportional to 216.46, 324.61 and 79.52

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Solution

The fourth proportional to 216.46, 324.61 and 79.52 is: 119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 324.61 = 79.52 : x
  2. Step 2: Convert to fraction form
    216.46/324.61 = 79.52/x
  3. Step 3: Cross multiply
    216.46x = 324.61 × 79.52
  4. Step 4: Simplify right side
    216.46x = 25,812.99
  5. Step 5: Solve for x
    x = 25,812.99/216.46
  6. Step 6: Final answer
    x = 119.25

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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.