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Finding the Fourth Proportional to 190.42, 262.74 and 124.81

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Solution

The fourth proportional to 190.42, 262.74 and 124.81 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.42 : 262.74 = 124.81 : x
  2. Step 2: Convert to fraction form
    190.42/262.74 = 124.81/x
  3. Step 3: Cross multiply
    190.42x = 262.74 × 124.81
  4. Step 4: Simplify right side
    190.42x = 32,792.58
  5. Step 5: Solve for x
    x = 32,792.58/190.42
  6. Step 6: Final answer
    x = 172.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.