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Finding the Fourth Proportional to 164.86, 227.70 and 109.50

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Solution

The fourth proportional to 164.86, 227.70 and 109.50 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.86 : 227.70 = 109.50 : x
  2. Step 2: Convert to fraction form
    164.86/227.70 = 109.50/x
  3. Step 3: Cross multiply
    164.86x = 227.70 × 109.50
  4. Step 4: Simplify right side
    164.86x = 24,933.15
  5. Step 5: Solve for x
    x = 24,933.15/164.86
  6. Step 6: Final answer
    x = 151.24

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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.