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Finding the Fourth Proportional to 164.86, 227.75 and 150.78

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Solution

The fourth proportional to 164.86, 227.75 and 150.78 is: 208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.86 : 227.75 = 150.78 : x
  2. Step 2: Convert to fraction form
    164.86/227.75 = 150.78/x
  3. Step 3: Cross multiply
    164.86x = 227.75 × 150.78
  4. Step 4: Simplify right side
    164.86x = 34,340.15
  5. Step 5: Solve for x
    x = 34,340.15/164.86
  6. Step 6: Final answer
    x = 208.30

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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.