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Finding the Fourth Proportional to 155.94, 213.84 and 144.99

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Solution

The fourth proportional to 155.94, 213.84 and 144.99 is: 198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.94 : 213.84 = 144.99 : x
  2. Step 2: Convert to fraction form
    155.94/213.84 = 144.99/x
  3. Step 3: Cross multiply
    155.94x = 213.84 × 144.99
  4. Step 4: Simplify right side
    155.94x = 31,004.66
  5. Step 5: Solve for x
    x = 31,004.66/155.94
  6. Step 6: Final answer
    x = 198.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.