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Finding the Fourth Proportional to 175.84, 241.92 and 166.56

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Solution

The fourth proportional to 175.84, 241.92 and 166.56 is: 229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 241.92 = 166.56 : x
  2. Step 2: Convert to fraction form
    175.84/241.92 = 166.56/x
  3. Step 3: Cross multiply
    175.84x = 241.92 × 166.56
  4. Step 4: Simplify right side
    175.84x = 40,294.20
  5. Step 5: Solve for x
    x = 40,294.20/175.84
  6. Step 6: Final answer
    x = 229.15

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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.