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Finding the Fourth Proportional to 217.88, 300.76 and 204.06

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Solution

The fourth proportional to 217.88, 300.76 and 204.06 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.88 : 300.76 = 204.06 : x
  2. Step 2: Convert to fraction form
    217.88/300.76 = 204.06/x
  3. Step 3: Cross multiply
    217.88x = 300.76 × 204.06
  4. Step 4: Simplify right side
    217.88x = 61,373.09
  5. Step 5: Solve for x
    x = 61,373.09/217.88
  6. Step 6: Final answer
    x = 281.68

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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.