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Finding the Fourth Proportional to 164.86, 227.49 and 109.66

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Solution

The fourth proportional to 164.86, 227.49 and 109.66 is: 151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.86 : 227.49 = 109.66 : x
  2. Step 2: Convert to fraction form
    164.86/227.49 = 109.66/x
  3. Step 3: Cross multiply
    164.86x = 227.49 × 109.66
  4. Step 4: Simplify right side
    164.86x = 24,946.55
  5. Step 5: Solve for x
    x = 24,946.55/164.86
  6. Step 6: Final answer
    x = 151.32

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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.