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Finding the Fourth Proportional to 190.07, 261.65 and 140.85

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Solution

The fourth proportional to 190.07, 261.65 and 140.85 is: 193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.07 : 261.65 = 140.85 : x
  2. Step 2: Convert to fraction form
    190.07/261.65 = 140.85/x
  3. Step 3: Cross multiply
    190.07x = 261.65 × 140.85
  4. Step 4: Simplify right side
    190.07x = 36,852.70
  5. Step 5: Solve for x
    x = 36,852.70/190.07
  6. Step 6: Final answer
    x = 193.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.