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Finding the Fourth Proportional to 189.88, 262.24 and 131.03

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Solution

The fourth proportional to 189.88, 262.24 and 131.03 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.88 : 262.24 = 131.03 : x
  2. Step 2: Convert to fraction form
    189.88/262.24 = 131.03/x
  3. Step 3: Cross multiply
    189.88x = 262.24 × 131.03
  4. Step 4: Simplify right side
    189.88x = 34,360.00
  5. Step 5: Solve for x
    x = 34,360.00/189.88
  6. Step 6: Final answer
    x = 180.96

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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.