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Finding the Fourth Proportional to 144.24, 198.48 and 115.98

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Solution

The fourth proportional to 144.24, 198.48 and 115.98 is: 159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.24 : 198.48 = 115.98 : x
  2. Step 2: Convert to fraction form
    144.24/198.48 = 115.98/x
  3. Step 3: Cross multiply
    144.24x = 198.48 × 115.98
  4. Step 4: Simplify right side
    144.24x = 23,019.71
  5. Step 5: Solve for x
    x = 23,019.71/144.24
  6. Step 6: Final answer
    x = 159.59

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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.