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Finding the Fourth Proportional to 216.81, 299.13 and 133.83

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Solution

The fourth proportional to 216.81, 299.13 and 133.83 is: 184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 299.13 = 133.83 : x
  2. Step 2: Convert to fraction form
    216.81/299.13 = 133.83/x
  3. Step 3: Cross multiply
    216.81x = 299.13 × 133.83
  4. Step 4: Simplify right side
    216.81x = 40,032.57
  5. Step 5: Solve for x
    x = 40,032.57/216.81
  6. Step 6: Final answer
    x = 184.64

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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.