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Finding the Fourth Proportional to 216.83, 299.00 and 185.85

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Solution

The fourth proportional to 216.83, 299.00 and 185.85 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 299.00 = 185.85 : x
  2. Step 2: Convert to fraction form
    216.83/299.00 = 185.85/x
  3. Step 3: Cross multiply
    216.83x = 299.00 × 185.85
  4. Step 4: Simplify right side
    216.83x = 55,568.22
  5. Step 5: Solve for x
    x = 55,568.22/216.83
  6. Step 6: Final answer
    x = 256.28

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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.