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Finding the Fourth Proportional to 217.51, 298.88 and 173.77

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Solution

The fourth proportional to 217.51, 298.88 and 173.77 is: 238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.51 : 298.88 = 173.77 : x
  2. Step 2: Convert to fraction form
    217.51/298.88 = 173.77/x
  3. Step 3: Cross multiply
    217.51x = 298.88 × 173.77
  4. Step 4: Simplify right side
    217.51x = 51,936.39
  5. Step 5: Solve for x
    x = 51,936.39/217.51
  6. Step 6: Final answer
    x = 238.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.