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Finding the Fourth Proportional to 165.17, 227.75 and 135.17

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Solution

The fourth proportional to 165.17, 227.75 and 135.17 is: 186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.17 : 227.75 = 135.17 : x
  2. Step 2: Convert to fraction form
    165.17/227.75 = 135.17/x
  3. Step 3: Cross multiply
    165.17x = 227.75 × 135.17
  4. Step 4: Simplify right side
    165.17x = 30,784.09
  5. Step 5: Solve for x
    x = 30,784.09/165.17
  6. Step 6: Final answer
    x = 186.38

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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.