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Finding the Fourth Proportional to 169.01, 231.72 and 166.93

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Solution

The fourth proportional to 169.01, 231.72 and 166.93 is: 228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.01 : 231.72 = 166.93 : x
  2. Step 2: Convert to fraction form
    169.01/231.72 = 166.93/x
  3. Step 3: Cross multiply
    169.01x = 231.72 × 166.93
  4. Step 4: Simplify right side
    169.01x = 38,681.31
  5. Step 5: Solve for x
    x = 38,681.31/169.01
  6. Step 6: Final answer
    x = 228.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.