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Finding the Fourth Proportional to 190.14, 285.56 and 162.96

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Solution

The fourth proportional to 190.14, 285.56 and 162.96 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.14 : 285.56 = 162.96 : x
  2. Step 2: Convert to fraction form
    190.14/285.56 = 162.96/x
  3. Step 3: Cross multiply
    190.14x = 285.56 × 162.96
  4. Step 4: Simplify right side
    190.14x = 46,534.86
  5. Step 5: Solve for x
    x = 46,534.86/190.14
  6. Step 6: Final answer
    x = 244.74

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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.