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Finding the Fourth Proportional to 213.75, 322.31 and 173.66

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Solution

The fourth proportional to 213.75, 322.31 and 173.66 is: 261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 322.31 = 173.66 : x
  2. Step 2: Convert to fraction form
    213.75/322.31 = 173.66/x
  3. Step 3: Cross multiply
    213.75x = 322.31 × 173.66
  4. Step 4: Simplify right side
    213.75x = 55,970.20
  5. Step 5: Solve for x
    x = 55,970.20/213.75
  6. Step 6: Final answer
    x = 261.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.