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Finding the Fourth Proportional to 216.46, 298.62 and 206.32

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Solution

The fourth proportional to 216.46, 298.62 and 206.32 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 298.62 = 206.32 : x
  2. Step 2: Convert to fraction form
    216.46/298.62 = 206.32/x
  3. Step 3: Cross multiply
    216.46x = 298.62 × 206.32
  4. Step 4: Simplify right side
    216.46x = 61,611.28
  5. Step 5: Solve for x
    x = 61,611.28/216.46
  6. Step 6: Final answer
    x = 284.63

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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.