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Finding the Fourth Proportional to 189.88, 263.14 and 187.56

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Solution

The fourth proportional to 189.88, 263.14 and 187.56 is: 259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.88 : 263.14 = 187.56 : x
  2. Step 2: Convert to fraction form
    189.88/263.14 = 187.56/x
  3. Step 3: Cross multiply
    189.88x = 263.14 × 187.56
  4. Step 4: Simplify right side
    189.88x = 49,354.54
  5. Step 5: Solve for x
    x = 49,354.54/189.88
  6. Step 6: Final answer
    x = 259.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.