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Finding the Fourth Proportional to 166.59, 229.85 and 131.63

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Solution

The fourth proportional to 166.59, 229.85 and 131.63 is: 181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 229.85 = 131.63 : x
  2. Step 2: Convert to fraction form
    166.59/229.85 = 131.63/x
  3. Step 3: Cross multiply
    166.59x = 229.85 × 131.63
  4. Step 4: Simplify right side
    166.59x = 30,254.70
  5. Step 5: Solve for x
    x = 30,254.70/166.59
  6. Step 6: Final answer
    x = 181.61

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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.