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Finding the Fourth Proportional to 173.60, 259.84 and 161.76

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Solution

The fourth proportional to 173.60, 259.84 and 161.76 is: 242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.60 : 259.84 = 161.76 : x
  2. Step 2: Convert to fraction form
    173.60/259.84 = 161.76/x
  3. Step 3: Cross multiply
    173.60x = 259.84 × 161.76
  4. Step 4: Simplify right side
    173.60x = 42,031.72
  5. Step 5: Solve for x
    x = 42,031.72/173.60
  6. Step 6: Final answer
    x = 242.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.