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Finding the Fourth Proportional to 194.57, 291.84 and 50.28

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Solution

The fourth proportional to 194.57, 291.84 and 50.28 is: 75.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.57 : 291.84 = 50.28 : x
  2. Step 2: Convert to fraction form
    194.57/291.84 = 50.28/x
  3. Step 3: Cross multiply
    194.57x = 291.84 × 50.28
  4. Step 4: Simplify right side
    194.57x = 14,673.72
  5. Step 5: Solve for x
    x = 14,673.72/194.57
  6. Step 6: Final answer
    x = 75.42

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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.