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Finding the Fourth Proportional to 165.11, 227.45 and 137.00

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Solution

The fourth proportional to 165.11, 227.45 and 137.00 is: 188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.11 : 227.45 = 137.00 : x
  2. Step 2: Convert to fraction form
    165.11/227.45 = 137.00/x
  3. Step 3: Cross multiply
    165.11x = 227.45 × 137.00
  4. Step 4: Simplify right side
    165.11x = 31,159.86
  5. Step 5: Solve for x
    x = 31,159.86/165.11
  6. Step 6: Final answer
    x = 188.73

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Why These Related Problems?

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