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Finding the Fourth Proportional to 165.15, 227.92 and 137.47

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Solution

The fourth proportional to 165.15, 227.92 and 137.47 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.15 : 227.92 = 137.47 : x
  2. Step 2: Convert to fraction form
    165.15/227.92 = 137.47/x
  3. Step 3: Cross multiply
    165.15x = 227.92 × 137.47
  4. Step 4: Simplify right side
    165.15x = 31,332.16
  5. Step 5: Solve for x
    x = 31,332.16/165.15
  6. Step 6: Final answer
    x = 189.72

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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.