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Finding the Fourth Proportional to 190.60, 263.04 and 107.71

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Solution

The fourth proportional to 190.60, 263.04 and 107.71 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.60 : 263.04 = 107.71 : x
  2. Step 2: Convert to fraction form
    190.60/263.04 = 107.71/x
  3. Step 3: Cross multiply
    190.60x = 263.04 × 107.71
  4. Step 4: Simplify right side
    190.60x = 28,330.98
  5. Step 5: Solve for x
    x = 28,330.98/190.60
  6. Step 6: Final answer
    x = 148.64

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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.