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Finding the Fourth Proportional to 165.35, 227.66 and 135.89

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Solution

The fourth proportional to 165.35, 227.66 and 135.89 is: 187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.35 : 227.66 = 135.89 : x
  2. Step 2: Convert to fraction form
    165.35/227.66 = 135.89/x
  3. Step 3: Cross multiply
    165.35x = 227.66 × 135.89
  4. Step 4: Simplify right side
    165.35x = 30,936.61
  5. Step 5: Solve for x
    x = 30,936.61/165.35
  6. Step 6: Final answer
    x = 187.10

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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.