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Finding the Fourth Proportional to 190.70, 285.33 and 113.70

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Solution

The fourth proportional to 190.70, 285.33 and 113.70 is: 170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.70 : 285.33 = 113.70 : x
  2. Step 2: Convert to fraction form
    190.70/285.33 = 113.70/x
  3. Step 3: Cross multiply
    190.70x = 285.33 × 113.70
  4. Step 4: Simplify right side
    190.70x = 32,442.45
  5. Step 5: Solve for x
    x = 32,442.45/190.70
  6. Step 6: Final answer
    x = 170.13

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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.