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Finding the Fourth Proportional to 190.68, 285.82 and 93.05

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Solution

The fourth proportional to 190.68, 285.82 and 93.05 is: 139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 285.82 = 93.05 : x
  2. Step 2: Convert to fraction form
    190.68/285.82 = 93.05/x
  3. Step 3: Cross multiply
    190.68x = 285.82 × 93.05
  4. Step 4: Simplify right side
    190.68x = 26,593.89
  5. Step 5: Solve for x
    x = 26,593.89/190.68
  6. Step 6: Final answer
    x = 139.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.