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Finding the Fourth Proportional to 174.51, 260.66 and 166.68

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Solution

The fourth proportional to 174.51, 260.66 and 166.68 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.51 : 260.66 = 166.68 : x
  2. Step 2: Convert to fraction form
    174.51/260.66 = 166.68/x
  3. Step 3: Cross multiply
    174.51x = 260.66 × 166.68
  4. Step 4: Simplify right side
    174.51x = 43,447.23
  5. Step 5: Solve for x
    x = 43,447.23/174.51
  6. Step 6: Final answer
    x = 248.97

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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.