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Finding the Fourth Proportional to 165.34, 227.84 and 135.74

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Solution

The fourth proportional to 165.34, 227.84 and 135.74 is: 187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.34 : 227.84 = 135.74 : x
  2. Step 2: Convert to fraction form
    165.34/227.84 = 135.74/x
  3. Step 3: Cross multiply
    165.34x = 227.84 × 135.74
  4. Step 4: Simplify right side
    165.34x = 30,926.89
  5. Step 5: Solve for x
    x = 30,926.89/165.34
  6. Step 6: Final answer
    x = 187.05

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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.