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Finding the Fourth Proportional to 194.77, 292.10 and 57.82

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Solution

The fourth proportional to 194.77, 292.10 and 57.82 is: 86.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.77 : 292.10 = 57.82 : x
  2. Step 2: Convert to fraction form
    194.77/292.10 = 57.82/x
  3. Step 3: Cross multiply
    194.77x = 292.10 × 57.82
  4. Step 4: Simplify right side
    194.77x = 16,889.22
  5. Step 5: Solve for x
    x = 16,889.22/194.77
  6. Step 6: Final answer
    x = 86.71

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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.