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Finding the Fourth Proportional to 193.98, 265.94 and 188.82

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Solution

The fourth proportional to 193.98, 265.94 and 188.82 is: 258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.98 : 265.94 = 188.82 : x
  2. Step 2: Convert to fraction form
    193.98/265.94 = 188.82/x
  3. Step 3: Cross multiply
    193.98x = 265.94 × 188.82
  4. Step 4: Simplify right side
    193.98x = 50,214.79
  5. Step 5: Solve for x
    x = 50,214.79/193.98
  6. Step 6: Final answer
    x = 258.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.