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Finding the Fourth Proportional to 217.98, 300.87 and 135.09

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Solution

The fourth proportional to 217.98, 300.87 and 135.09 is: 186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.98 : 300.87 = 135.09 : x
  2. Step 2: Convert to fraction form
    217.98/300.87 = 135.09/x
  3. Step 3: Cross multiply
    217.98x = 300.87 × 135.09
  4. Step 4: Simplify right side
    217.98x = 40,644.53
  5. Step 5: Solve for x
    x = 40,644.53/217.98
  6. Step 6: Final answer
    x = 186.46

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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.