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Finding the Fourth Proportional to 190.08, 262.26 and 143.61

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Solution

The fourth proportional to 190.08, 262.26 and 143.61 is: 198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 262.26 = 143.61 : x
  2. Step 2: Convert to fraction form
    190.08/262.26 = 143.61/x
  3. Step 3: Cross multiply
    190.08x = 262.26 × 143.61
  4. Step 4: Simplify right side
    190.08x = 37,663.16
  5. Step 5: Solve for x
    x = 37,663.16/190.08
  6. Step 6: Final answer
    x = 198.14

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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.