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Finding the Fourth Proportional to 190.40, 285.74 and 68.67

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Solution

The fourth proportional to 190.40, 285.74 and 68.67 is: 103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.40 : 285.74 = 68.67 : x
  2. Step 2: Convert to fraction form
    190.40/285.74 = 68.67/x
  3. Step 3: Cross multiply
    190.40x = 285.74 × 68.67
  4. Step 4: Simplify right side
    190.40x = 19,621.77
  5. Step 5: Solve for x
    x = 19,621.77/190.40
  6. Step 6: Final answer
    x = 103.06

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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.