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Finding the Fourth Proportional to 166.20, 229.27 and 135.15

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Solution

The fourth proportional to 166.20, 229.27 and 135.15 is: 186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.20 : 229.27 = 135.15 : x
  2. Step 2: Convert to fraction form
    166.20/229.27 = 135.15/x
  3. Step 3: Cross multiply
    166.20x = 229.27 × 135.15
  4. Step 4: Simplify right side
    166.20x = 30,985.84
  5. Step 5: Solve for x
    x = 30,985.84/166.20
  6. Step 6: Final answer
    x = 186.44

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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.