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Finding the Fourth Proportional to 194.82, 292.77 and 194.28

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Solution

The fourth proportional to 194.82, 292.77 and 194.28 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.82 : 292.77 = 194.28 : x
  2. Step 2: Convert to fraction form
    194.82/292.77 = 194.28/x
  3. Step 3: Cross multiply
    194.82x = 292.77 × 194.28
  4. Step 4: Simplify right side
    194.82x = 56,879.36
  5. Step 5: Solve for x
    x = 56,879.36/194.82
  6. Step 6: Final answer
    x = 291.96

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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.