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Finding the Fourth Proportional to 216.87, 299.87 and 203.10

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Solution

The fourth proportional to 216.87, 299.87 and 203.10 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.87 : 299.87 = 203.10 : x
  2. Step 2: Convert to fraction form
    216.87/299.87 = 203.10/x
  3. Step 3: Cross multiply
    216.87x = 299.87 × 203.10
  4. Step 4: Simplify right side
    216.87x = 60,903.60
  5. Step 5: Solve for x
    x = 60,903.60/216.87
  6. Step 6: Final answer
    x = 280.83

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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.