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Finding the Fourth Proportional to 389.56, 584.57 and 158.47

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Solution

The fourth proportional to 389.56, 584.57 and 158.47 is: 237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.56 : 584.57 = 158.47 : x
  2. Step 2: Convert to fraction form
    389.56/584.57 = 158.47/x
  3. Step 3: Cross multiply
    389.56x = 584.57 × 158.47
  4. Step 4: Simplify right side
    389.56x = 92,636.81
  5. Step 5: Solve for x
    x = 92,636.81/389.56
  6. Step 6: Final answer
    x = 237.80

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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.