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Finding the Fourth Proportional to 173.27, 238.83 and 152.21

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Solution

The fourth proportional to 173.27, 238.83 and 152.21 is: 209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.27 : 238.83 = 152.21 : x
  2. Step 2: Convert to fraction form
    173.27/238.83 = 152.21/x
  3. Step 3: Cross multiply
    173.27x = 238.83 × 152.21
  4. Step 4: Simplify right side
    173.27x = 36,351.72
  5. Step 5: Solve for x
    x = 36,351.72/173.27
  6. Step 6: Final answer
    x = 209.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.