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Finding the Fourth Proportional to 173.21, 238.28 and 149.72

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Solution

The fourth proportional to 173.21, 238.28 and 149.72 is: 205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.21 : 238.28 = 149.72 : x
  2. Step 2: Convert to fraction form
    173.21/238.28 = 149.72/x
  3. Step 3: Cross multiply
    173.21x = 238.28 × 149.72
  4. Step 4: Simplify right side
    173.21x = 35,673.34
  5. Step 5: Solve for x
    x = 35,673.34/173.21
  6. Step 6: Final answer
    x = 205.96

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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.