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Finding the Fourth Proportional to 166.73, 249.58 and 117.87

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Solution

The fourth proportional to 166.73, 249.58 and 117.87 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.73 : 249.58 = 117.87 : x
  2. Step 2: Convert to fraction form
    166.73/249.58 = 117.87/x
  3. Step 3: Cross multiply
    166.73x = 249.58 × 117.87
  4. Step 4: Simplify right side
    166.73x = 29,417.99
  5. Step 5: Solve for x
    x = 29,417.99/166.73
  6. Step 6: Final answer
    x = 176.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.