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Finding the Fourth Proportional to 194.50, 291.48 and 125.83

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Solution

The fourth proportional to 194.50, 291.48 and 125.83 is: 188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.50 : 291.48 = 125.83 : x
  2. Step 2: Convert to fraction form
    194.50/291.48 = 125.83/x
  3. Step 3: Cross multiply
    194.50x = 291.48 × 125.83
  4. Step 4: Simplify right side
    194.50x = 36,676.93
  5. Step 5: Solve for x
    x = 36,676.93/194.50
  6. Step 6: Final answer
    x = 188.57

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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.