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Finding the Fourth Proportional to 190.06, 262.18 and 116.35

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Solution

The fourth proportional to 190.06, 262.18 and 116.35 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.06 : 262.18 = 116.35 : x
  2. Step 2: Convert to fraction form
    190.06/262.18 = 116.35/x
  3. Step 3: Cross multiply
    190.06x = 262.18 × 116.35
  4. Step 4: Simplify right side
    190.06x = 30,504.06
  5. Step 5: Solve for x
    x = 30,504.06/190.06
  6. Step 6: Final answer
    x = 160.50

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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.