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Finding the Fourth Proportional to 165.20, 227.48 and 156.02

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Solution

The fourth proportional to 165.20, 227.48 and 156.02 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.20 : 227.48 = 156.02 : x
  2. Step 2: Convert to fraction form
    165.20/227.48 = 156.02/x
  3. Step 3: Cross multiply
    165.20x = 227.48 × 156.02
  4. Step 4: Simplify right side
    165.20x = 35,489.51
  5. Step 5: Solve for x
    x = 35,489.51/165.20
  6. Step 6: Final answer
    x = 214.83

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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.