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Finding the Fourth Proportional to 216.69, 324.90 and 101.13

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Solution

The fourth proportional to 216.69, 324.90 and 101.13 is: 151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.69 : 324.90 = 101.13 : x
  2. Step 2: Convert to fraction form
    216.69/324.90 = 101.13/x
  3. Step 3: Cross multiply
    216.69x = 324.90 × 101.13
  4. Step 4: Simplify right side
    216.69x = 32,857.14
  5. Step 5: Solve for x
    x = 32,857.14/216.69
  6. Step 6: Final answer
    x = 151.63

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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.