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Finding the Fourth Proportional to 389.18, 584.22 and 194.36

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Solution

The fourth proportional to 389.18, 584.22 and 194.36 is: 291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.18 : 584.22 = 194.36 : x
  2. Step 2: Convert to fraction form
    389.18/584.22 = 194.36/x
  3. Step 3: Cross multiply
    389.18x = 584.22 × 194.36
  4. Step 4: Simplify right side
    389.18x = 113,549.00
  5. Step 5: Solve for x
    x = 113,549.00/389.18
  6. Step 6: Final answer
    x = 291.76

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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.