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Finding the Fourth Proportional to 216.32, 299.03 and 194.45

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Solution

The fourth proportional to 216.32, 299.03 and 194.45 is: 268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.32 : 299.03 = 194.45 : x
  2. Step 2: Convert to fraction form
    216.32/299.03 = 194.45/x
  3. Step 3: Cross multiply
    216.32x = 299.03 × 194.45
  4. Step 4: Simplify right side
    216.32x = 58,143.92
  5. Step 5: Solve for x
    x = 58,143.92/216.32
  6. Step 6: Final answer
    x = 268.79

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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.