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Finding the Fourth Proportional to 190.60, 285.52 and 109.36

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Solution

The fourth proportional to 190.60, 285.52 and 109.36 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.60 : 285.52 = 109.36 : x
  2. Step 2: Convert to fraction form
    190.60/285.52 = 109.36/x
  3. Step 3: Cross multiply
    190.60x = 285.52 × 109.36
  4. Step 4: Simplify right side
    190.60x = 31,224.47
  5. Step 5: Solve for x
    x = 31,224.47/190.60
  6. Step 6: Final answer
    x = 163.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.