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Finding the Fourth Proportional to 194.83, 292.14 and 57.85

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Solution

The fourth proportional to 194.83, 292.14 and 57.85 is: 86.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.83 : 292.14 = 57.85 : x
  2. Step 2: Convert to fraction form
    194.83/292.14 = 57.85/x
  3. Step 3: Cross multiply
    194.83x = 292.14 × 57.85
  4. Step 4: Simplify right side
    194.83x = 16,900.01
  5. Step 5: Solve for x
    x = 16,900.01/194.83
  6. Step 6: Final answer
    x = 86.74

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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.