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Finding the Fourth Proportional to 151.02, 208.20 and 144.21

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Solution

The fourth proportional to 151.02, 208.20 and 144.21 is: 198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 208.20 = 144.21 : x
  2. Step 2: Convert to fraction form
    151.02/208.20 = 144.21/x
  3. Step 3: Cross multiply
    151.02x = 208.20 × 144.21
  4. Step 4: Simplify right side
    151.02x = 30,024.52
  5. Step 5: Solve for x
    x = 30,024.52/151.02
  6. Step 6: Final answer
    x = 198.81

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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.