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Finding the Fourth Proportional to 216.96, 298.62 and 185.76

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Solution

The fourth proportional to 216.96, 298.62 and 185.76 is: 255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 298.62 = 185.76 : x
  2. Step 2: Convert to fraction form
    216.96/298.62 = 185.76/x
  3. Step 3: Cross multiply
    216.96x = 298.62 × 185.76
  4. Step 4: Simplify right side
    216.96x = 55,471.65
  5. Step 5: Solve for x
    x = 55,471.65/216.96
  6. Step 6: Final answer
    x = 255.68

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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.