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Finding the Fourth Proportional to 189.61, 261.97 and 143.13

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Solution

The fourth proportional to 189.61, 261.97 and 143.13 is: 197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.61 : 261.97 = 143.13 : x
  2. Step 2: Convert to fraction form
    189.61/261.97 = 143.13/x
  3. Step 3: Cross multiply
    189.61x = 261.97 × 143.13
  4. Step 4: Simplify right side
    189.61x = 37,496.39
  5. Step 5: Solve for x
    x = 37,496.39/189.61
  6. Step 6: Final answer
    x = 197.76

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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.