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Finding the Fourth Proportional to 190.57, 285.86 and 87.89

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Solution

The fourth proportional to 190.57, 285.86 and 87.89 is: 131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.57 : 285.86 = 87.89 : x
  2. Step 2: Convert to fraction form
    190.57/285.86 = 87.89/x
  3. Step 3: Cross multiply
    190.57x = 285.86 × 87.89
  4. Step 4: Simplify right side
    190.57x = 25,123.03
  5. Step 5: Solve for x
    x = 25,123.03/190.57
  6. Step 6: Final answer
    x = 131.83

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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.