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Finding the Fourth Proportional to 216.96, 299.34 and 129.60

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Solution

The fourth proportional to 216.96, 299.34 and 129.60 is: 178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 299.34 = 129.60 : x
  2. Step 2: Convert to fraction form
    216.96/299.34 = 129.60/x
  3. Step 3: Cross multiply
    216.96x = 299.34 × 129.60
  4. Step 4: Simplify right side
    216.96x = 38,794.46
  5. Step 5: Solve for x
    x = 38,794.46/216.96
  6. Step 6: Final answer
    x = 178.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.