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Finding the Fourth Proportional to 190.70, 263.15 and 120.77

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Solution

The fourth proportional to 190.70, 263.15 and 120.77 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.70 : 263.15 = 120.77 : x
  2. Step 2: Convert to fraction form
    190.70/263.15 = 120.77/x
  3. Step 3: Cross multiply
    190.70x = 263.15 × 120.77
  4. Step 4: Simplify right side
    190.70x = 31,780.68
  5. Step 5: Solve for x
    x = 31,780.68/190.70
  6. Step 6: Final answer
    x = 166.65

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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.