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Finding the Fourth Proportional to 389.70, 584.48 and 158.54

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Solution

The fourth proportional to 389.70, 584.48 and 158.54 is: 237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.70 : 584.48 = 158.54 : x
  2. Step 2: Convert to fraction form
    389.70/584.48 = 158.54/x
  3. Step 3: Cross multiply
    389.70x = 584.48 × 158.54
  4. Step 4: Simplify right side
    389.70x = 92,663.46
  5. Step 5: Solve for x
    x = 92,663.46/389.70
  6. Step 6: Final answer
    x = 237.78

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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.