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Finding the Fourth Proportional to 165.78, 227.52 and 151.92

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Solution

The fourth proportional to 165.78, 227.52 and 151.92 is: 208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 227.52 = 151.92 : x
  2. Step 2: Convert to fraction form
    165.78/227.52 = 151.92/x
  3. Step 3: Cross multiply
    165.78x = 227.52 × 151.92
  4. Step 4: Simplify right side
    165.78x = 34,564.84
  5. Step 5: Solve for x
    x = 34,564.84/165.78
  6. Step 6: Final answer
    x = 208.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.