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Finding the Fourth Proportional to 166.86, 230.58 and 137.70

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Solution

The fourth proportional to 166.86, 230.58 and 137.70 is: 190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 230.58 = 137.70 : x
  2. Step 2: Convert to fraction form
    166.86/230.58 = 137.70/x
  3. Step 3: Cross multiply
    166.86x = 230.58 × 137.70
  4. Step 4: Simplify right side
    166.86x = 31,750.87
  5. Step 5: Solve for x
    x = 31,750.87/166.86
  6. Step 6: Final answer
    x = 190.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.