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Finding the Fourth Proportional to 190.69, 263.07 and 146.35

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Solution

The fourth proportional to 190.69, 263.07 and 146.35 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 263.07 = 146.35 : x
  2. Step 2: Convert to fraction form
    190.69/263.07 = 146.35/x
  3. Step 3: Cross multiply
    190.69x = 263.07 × 146.35
  4. Step 4: Simplify right side
    190.69x = 38,499.92
  5. Step 5: Solve for x
    x = 38,499.92/190.69
  6. Step 6: Final answer
    x = 201.90

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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.