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Finding the Fourth Proportional to 175.60, 261.45 and 161.92

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Solution

The fourth proportional to 175.60, 261.45 and 161.92 is: 241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.60 : 261.45 = 161.92 : x
  2. Step 2: Convert to fraction form
    175.60/261.45 = 161.92/x
  3. Step 3: Cross multiply
    175.60x = 261.45 × 161.92
  4. Step 4: Simplify right side
    175.60x = 42,333.98
  5. Step 5: Solve for x
    x = 42,333.98/175.60
  6. Step 6: Final answer
    x = 241.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.