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Finding the Fourth Proportional to 190.74, 285.75 and 147.48

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Solution

The fourth proportional to 190.74, 285.75 and 147.48 is: 220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.74 : 285.75 = 147.48 : x
  2. Step 2: Convert to fraction form
    190.74/285.75 = 147.48/x
  3. Step 3: Cross multiply
    190.74x = 285.75 × 147.48
  4. Step 4: Simplify right side
    190.74x = 42,142.41
  5. Step 5: Solve for x
    x = 42,142.41/190.74
  6. Step 6: Final answer
    x = 220.94

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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.