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Finding the Fourth Proportional to 216.40, 324.54 and 100.73

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Solution

The fourth proportional to 216.40, 324.54 and 100.73 is: 151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.40 : 324.54 = 100.73 : x
  2. Step 2: Convert to fraction form
    216.40/324.54 = 100.73/x
  3. Step 3: Cross multiply
    216.40x = 324.54 × 100.73
  4. Step 4: Simplify right side
    216.40x = 32,691.98
  5. Step 5: Solve for x
    x = 32,691.98/216.40
  6. Step 6: Final answer
    x = 151.07

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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.