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Finding the Fourth Proportional to 173.41, 239.75 and 165.76

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Solution

The fourth proportional to 173.41, 239.75 and 165.76 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.41 : 239.75 = 165.76 : x
  2. Step 2: Convert to fraction form
    173.41/239.75 = 165.76/x
  3. Step 3: Cross multiply
    173.41x = 239.75 × 165.76
  4. Step 4: Simplify right side
    173.41x = 39,740.96
  5. Step 5: Solve for x
    x = 39,740.96/173.41
  6. Step 6: Final answer
    x = 229.17

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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.