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Finding the Fourth Proportional to 216.43, 300.07 and 205.45

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Solution

The fourth proportional to 216.43, 300.07 and 205.45 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.43 : 300.07 = 205.45 : x
  2. Step 2: Convert to fraction form
    216.43/300.07 = 205.45/x
  3. Step 3: Cross multiply
    216.43x = 300.07 × 205.45
  4. Step 4: Simplify right side
    216.43x = 61,649.38
  5. Step 5: Solve for x
    x = 61,649.38/216.43
  6. Step 6: Final answer
    x = 284.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.