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Finding the Fourth Proportional to 190.54, 285.74 and 99.21

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Solution

The fourth proportional to 190.54, 285.74 and 99.21 is: 148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 285.74 = 99.21 : x
  2. Step 2: Convert to fraction form
    190.54/285.74 = 99.21/x
  3. Step 3: Cross multiply
    190.54x = 285.74 × 99.21
  4. Step 4: Simplify right side
    190.54x = 28,348.27
  5. Step 5: Solve for x
    x = 28,348.27/190.54
  6. Step 6: Final answer
    x = 148.78

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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.