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Finding the Fourth Proportional to 217.97, 300.77 and 135.05

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Solution

The fourth proportional to 217.97, 300.77 and 135.05 is: 186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.97 : 300.77 = 135.05 : x
  2. Step 2: Convert to fraction form
    217.97/300.77 = 135.05/x
  3. Step 3: Cross multiply
    217.97x = 300.77 × 135.05
  4. Step 4: Simplify right side
    217.97x = 40,616.81
  5. Step 5: Solve for x
    x = 40,616.81/217.97
  6. Step 6: Final answer
    x = 186.35

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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.