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Finding the Fourth Proportional to 189.98, 263.27 and 186.33

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Solution

The fourth proportional to 189.98, 263.27 and 186.33 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.98 : 263.27 = 186.33 : x
  2. Step 2: Convert to fraction form
    189.98/263.27 = 186.33/x
  3. Step 3: Cross multiply
    189.98x = 263.27 × 186.33
  4. Step 4: Simplify right side
    189.98x = 49,054.63
  5. Step 5: Solve for x
    x = 49,054.63/189.98
  6. Step 6: Final answer
    x = 258.22

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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.