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Finding the Fourth Proportional to 190.81, 285.98 and 109.48

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Solution

The fourth proportional to 190.81, 285.98 and 109.48 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.81 : 285.98 = 109.48 : x
  2. Step 2: Convert to fraction form
    190.81/285.98 = 109.48/x
  3. Step 3: Cross multiply
    190.81x = 285.98 × 109.48
  4. Step 4: Simplify right side
    190.81x = 31,308.18
  5. Step 5: Solve for x
    x = 31,308.18/190.81
  6. Step 6: Final answer
    x = 164.08

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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.