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Finding the Fourth Proportional to 190.82, 261.23 and 184.61

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Solution

The fourth proportional to 190.82, 261.23 and 184.61 is: 252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 261.23 = 184.61 : x
  2. Step 2: Convert to fraction form
    190.82/261.23 = 184.61/x
  3. Step 3: Cross multiply
    190.82x = 261.23 × 184.61
  4. Step 4: Simplify right side
    190.82x = 48,225.40
  5. Step 5: Solve for x
    x = 48,225.40/190.82
  6. Step 6: Final answer
    x = 252.72

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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.