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Finding the Fourth Proportional to 190.85, 285.64 and 109.67

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Solution

The fourth proportional to 190.85, 285.64 and 109.67 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.85 : 285.64 = 109.67 : x
  2. Step 2: Convert to fraction form
    190.85/285.64 = 109.67/x
  3. Step 3: Cross multiply
    190.85x = 285.64 × 109.67
  4. Step 4: Simplify right side
    190.85x = 31,326.14
  5. Step 5: Solve for x
    x = 31,326.14/190.85
  6. Step 6: Final answer
    x = 164.14

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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.