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Finding the Fourth Proportional to 164.67, 227.14 and 99.15

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Solution

The fourth proportional to 164.67, 227.14 and 99.15 is: 136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.67 : 227.14 = 99.15 : x
  2. Step 2: Convert to fraction form
    164.67/227.14 = 99.15/x
  3. Step 3: Cross multiply
    164.67x = 227.14 × 99.15
  4. Step 4: Simplify right side
    164.67x = 22,520.93
  5. Step 5: Solve for x
    x = 22,520.93/164.67
  6. Step 6: Final answer
    x = 136.76

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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.