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Finding the Fourth Proportional to 216.19, 297.98 and 205.94

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Solution

The fourth proportional to 216.19, 297.98 and 205.94 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 297.98 = 205.94 : x
  2. Step 2: Convert to fraction form
    216.19/297.98 = 205.94/x
  3. Step 3: Cross multiply
    216.19x = 297.98 × 205.94
  4. Step 4: Simplify right side
    216.19x = 61,366.49
  5. Step 5: Solve for x
    x = 61,366.49/216.19
  6. Step 6: Final answer
    x = 283.85

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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.