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Finding the Fourth Proportional to 164.80, 227.40 and 109.44

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Solution

The fourth proportional to 164.80, 227.40 and 109.44 is: 151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.80 : 227.40 = 109.44 : x
  2. Step 2: Convert to fraction form
    164.80/227.40 = 109.44/x
  3. Step 3: Cross multiply
    164.80x = 227.40 × 109.44
  4. Step 4: Simplify right side
    164.80x = 24,886.66
  5. Step 5: Solve for x
    x = 24,886.66/164.80
  6. Step 6: Final answer
    x = 151.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.