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Finding the Fourth Proportional to 216.16, 324.25 and 106.47

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Solution

The fourth proportional to 216.16, 324.25 and 106.47 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.16 : 324.25 = 106.47 : x
  2. Step 2: Convert to fraction form
    216.16/324.25 = 106.47/x
  3. Step 3: Cross multiply
    216.16x = 324.25 × 106.47
  4. Step 4: Simplify right side
    216.16x = 34,522.63
  5. Step 5: Solve for x
    x = 34,522.63/216.16
  6. Step 6: Final answer
    x = 159.71

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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.