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Finding the Fourth Proportional to 190, 262.25 and 120.01

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Solution

The fourth proportional to 190, 262.25 and 120.01 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190 : 262.25 = 120.01 : x
  2. Step 2: Convert to fraction form
    190/262.25 = 120.01/x
  3. Step 3: Cross multiply
    190x = 262.25 × 120.01
  4. Step 4: Simplify right side
    190x = 31,472.62
  5. Step 5: Solve for x
    x = 31,472.62/190
  6. Step 6: Final answer
    x = 165.65

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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.