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Finding the Fourth Proportional to 190.70, 286.10 and 68.98

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Solution

The fourth proportional to 190.70, 286.10 and 68.98 is: 103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.70 : 286.10 = 68.98 : x
  2. Step 2: Convert to fraction form
    190.70/286.10 = 68.98/x
  3. Step 3: Cross multiply
    190.70x = 286.10 × 68.98
  4. Step 4: Simplify right side
    190.70x = 19,733.40
  5. Step 5: Solve for x
    x = 19,733.40/190.70
  6. Step 6: Final answer
    x = 103.48

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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.