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Finding the Fourth Proportional to 216.46, 324.69 and 135.82

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Solution

The fourth proportional to 216.46, 324.69 and 135.82 is: 203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 324.69 = 135.82 : x
  2. Step 2: Convert to fraction form
    216.46/324.69 = 135.82/x
  3. Step 3: Cross multiply
    216.46x = 324.69 × 135.82
  4. Step 4: Simplify right side
    216.46x = 44,099.40
  5. Step 5: Solve for x
    x = 44,099.40/216.46
  6. Step 6: Final answer
    x = 203.73

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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.