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Finding the Fourth Proportional to 166.67, 230.93 and 162.89

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Solution

The fourth proportional to 166.67, 230.93 and 162.89 is: 225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.67 : 230.93 = 162.89 : x
  2. Step 2: Convert to fraction form
    166.67/230.93 = 162.89/x
  3. Step 3: Cross multiply
    166.67x = 230.93 × 162.89
  4. Step 4: Simplify right side
    166.67x = 37,614.22
  5. Step 5: Solve for x
    x = 37,614.22/166.67
  6. Step 6: Final answer
    x = 225.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.