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Finding the Fourth Proportional to 144.30, 216.27 and 109.98

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Solution

The fourth proportional to 144.30, 216.27 and 109.98 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.30 : 216.27 = 109.98 : x
  2. Step 2: Convert to fraction form
    144.30/216.27 = 109.98/x
  3. Step 3: Cross multiply
    144.30x = 216.27 × 109.98
  4. Step 4: Simplify right side
    144.30x = 23,785.37
  5. Step 5: Solve for x
    x = 23,785.37/144.30
  6. Step 6: Final answer
    x = 164.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.