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Finding the Fourth Proportional to 173.84, 261.96 and 163.58

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Solution

The fourth proportional to 173.84, 261.96 and 163.58 is: 246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.84 : 261.96 = 163.58 : x
  2. Step 2: Convert to fraction form
    173.84/261.96 = 163.58/x
  3. Step 3: Cross multiply
    173.84x = 261.96 × 163.58
  4. Step 4: Simplify right side
    173.84x = 42,850.11
  5. Step 5: Solve for x
    x = 42,850.11/173.84
  6. Step 6: Final answer
    x = 246.50

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Why These Related Problems?

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