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Finding the Fourth Proportional to 190.19, 284.90 and 146.70

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Solution

The fourth proportional to 190.19, 284.90 and 146.70 is: 219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.19 : 284.90 = 146.70 : x
  2. Step 2: Convert to fraction form
    190.19/284.90 = 146.70/x
  3. Step 3: Cross multiply
    190.19x = 284.90 × 146.70
  4. Step 4: Simplify right side
    190.19x = 41,795.20
  5. Step 5: Solve for x
    x = 41,795.20/190.19
  6. Step 6: Final answer
    x = 219.76

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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.