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Finding the Fourth Proportional to 175.41, 260.82 and 166.10

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Solution

The fourth proportional to 175.41, 260.82 and 166.10 is: 246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.41 : 260.82 = 166.10 : x
  2. Step 2: Convert to fraction form
    175.41/260.82 = 166.10/x
  3. Step 3: Cross multiply
    175.41x = 260.82 × 166.10
  4. Step 4: Simplify right side
    175.41x = 43,320.90
  5. Step 5: Solve for x
    x = 43,320.90/175.41
  6. Step 6: Final answer
    x = 246.97

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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.