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Finding the Fourth Proportional to 216.38, 324.74 and 100.96

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Solution

The fourth proportional to 216.38, 324.74 and 100.96 is: 151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.38 : 324.74 = 100.96 : x
  2. Step 2: Convert to fraction form
    216.38/324.74 = 100.96/x
  3. Step 3: Cross multiply
    216.38x = 324.74 × 100.96
  4. Step 4: Simplify right side
    216.38x = 32,785.75
  5. Step 5: Solve for x
    x = 32,785.75/216.38
  6. Step 6: Final answer
    x = 151.52

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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.