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Finding the Fourth Proportional to 173.39, 261.38 and 161.64

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Solution

The fourth proportional to 173.39, 261.38 and 161.64 is: 243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.39 : 261.38 = 161.64 : x
  2. Step 2: Convert to fraction form
    173.39/261.38 = 161.64/x
  3. Step 3: Cross multiply
    173.39x = 261.38 × 161.64
  4. Step 4: Simplify right side
    173.39x = 42,248.66
  5. Step 5: Solve for x
    x = 42,248.66/173.39
  6. Step 6: Final answer
    x = 243.67

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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.