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Finding the Fourth Proportional to 193.86, 290.98 and 125.18

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Solution

The fourth proportional to 193.86, 290.98 and 125.18 is: 187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.86 : 290.98 = 125.18 : x
  2. Step 2: Convert to fraction form
    193.86/290.98 = 125.18/x
  3. Step 3: Cross multiply
    193.86x = 290.98 × 125.18
  4. Step 4: Simplify right side
    193.86x = 36,424.88
  5. Step 5: Solve for x
    x = 36,424.88/193.86
  6. Step 6: Final answer
    x = 187.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.