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Finding the Fourth Proportional to 216.29, 324.01 and 113.46

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Solution

The fourth proportional to 216.29, 324.01 and 113.46 is: 169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.29 : 324.01 = 113.46 : x
  2. Step 2: Convert to fraction form
    216.29/324.01 = 113.46/x
  3. Step 3: Cross multiply
    216.29x = 324.01 × 113.46
  4. Step 4: Simplify right side
    216.29x = 36,762.17
  5. Step 5: Solve for x
    x = 36,762.17/216.29
  6. Step 6: Final answer
    x = 169.97

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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.