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Finding the Fourth Proportional to 216.42, 324.64 and 106.79

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Solution

The fourth proportional to 216.42, 324.64 and 106.79 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 324.64 = 106.79 : x
  2. Step 2: Convert to fraction form
    216.42/324.64 = 106.79/x
  3. Step 3: Cross multiply
    216.42x = 324.64 × 106.79
  4. Step 4: Simplify right side
    216.42x = 34,666.68
  5. Step 5: Solve for x
    x = 34,666.68/216.42
  6. Step 6: Final answer
    x = 160.19

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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.