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Finding the Fourth Proportional to 189.93, 262.08 and 116.25

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Solution

The fourth proportional to 189.93, 262.08 and 116.25 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 262.08 = 116.25 : x
  2. Step 2: Convert to fraction form
    189.93/262.08 = 116.25/x
  3. Step 3: Cross multiply
    189.93x = 262.08 × 116.25
  4. Step 4: Simplify right side
    189.93x = 30,466.80
  5. Step 5: Solve for x
    x = 30,466.80/189.93
  6. Step 6: Final answer
    x = 160.41

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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.