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Finding the Fourth Proportional to 190.59, 263.01 and 107.68

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Solution

The fourth proportional to 190.59, 263.01 and 107.68 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.59 : 263.01 = 107.68 : x
  2. Step 2: Convert to fraction form
    190.59/263.01 = 107.68/x
  3. Step 3: Cross multiply
    190.59x = 263.01 × 107.68
  4. Step 4: Simplify right side
    190.59x = 28,319.60
  5. Step 5: Solve for x
    x = 28,319.60/190.59
  6. Step 6: Final answer
    x = 148.59

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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.