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Finding the Fourth Proportional to 217.07, 298.86 and 173.33

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Solution

The fourth proportional to 217.07, 298.86 and 173.33 is: 238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.07 : 298.86 = 173.33 : x
  2. Step 2: Convert to fraction form
    217.07/298.86 = 173.33/x
  3. Step 3: Cross multiply
    217.07x = 298.86 × 173.33
  4. Step 4: Simplify right side
    217.07x = 51,801.40
  5. Step 5: Solve for x
    x = 51,801.40/217.07
  6. Step 6: Final answer
    x = 238.64

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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.