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Finding the Fourth Proportional to 190.01, 286.25 and 149.61

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Solution

The fourth proportional to 190.01, 286.25 and 149.61 is: 225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.01 : 286.25 = 149.61 : x
  2. Step 2: Convert to fraction form
    190.01/286.25 = 149.61/x
  3. Step 3: Cross multiply
    190.01x = 286.25 × 149.61
  4. Step 4: Simplify right side
    190.01x = 42,825.86
  5. Step 5: Solve for x
    x = 42,825.86/190.01
  6. Step 6: Final answer
    x = 225.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.