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Finding the Fourth Proportional to 189.90, 261.99 and 116.19

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Solution

The fourth proportional to 189.90, 261.99 and 116.19 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 261.99 = 116.19 : x
  2. Step 2: Convert to fraction form
    189.90/261.99 = 116.19/x
  3. Step 3: Cross multiply
    189.90x = 261.99 × 116.19
  4. Step 4: Simplify right side
    189.90x = 30,440.62
  5. Step 5: Solve for x
    x = 30,440.62/189.90
  6. Step 6: Final answer
    x = 160.30

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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.