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Finding the Fourth Proportional to 173.74, 261.92 and 162.29

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Solution

The fourth proportional to 173.74, 261.92 and 162.29 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.74 : 261.92 = 162.29 : x
  2. Step 2: Convert to fraction form
    173.74/261.92 = 162.29/x
  3. Step 3: Cross multiply
    173.74x = 261.92 × 162.29
  4. Step 4: Simplify right side
    173.74x = 42,507.00
  5. Step 5: Solve for x
    x = 42,507.00/173.74
  6. Step 6: Final answer
    x = 244.66

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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.