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Finding the Fourth Proportional to 190.23, 284.81 and 146.67

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Solution

The fourth proportional to 190.23, 284.81 and 146.67 is: 219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.23 : 284.81 = 146.67 : x
  2. Step 2: Convert to fraction form
    190.23/284.81 = 146.67/x
  3. Step 3: Cross multiply
    190.23x = 284.81 × 146.67
  4. Step 4: Simplify right side
    190.23x = 41,772.35
  5. Step 5: Solve for x
    x = 41,772.35/190.23
  6. Step 6: Final answer
    x = 219.59

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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.