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Finding the Fourth Proportional to 165.19, 227.75 and 135.58

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Solution

The fourth proportional to 165.19, 227.75 and 135.58 is: 186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 227.75 = 135.58 : x
  2. Step 2: Convert to fraction form
    165.19/227.75 = 135.58/x
  3. Step 3: Cross multiply
    165.19x = 227.75 × 135.58
  4. Step 4: Simplify right side
    165.19x = 30,878.35
  5. Step 5: Solve for x
    x = 30,878.35/165.19
  6. Step 6: Final answer
    x = 186.93

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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.