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Finding the Fourth Proportional to 389.37, 584.10 and 145.83

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Solution

The fourth proportional to 389.37, 584.10 and 145.83 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.37 : 584.10 = 145.83 : x
  2. Step 2: Convert to fraction form
    389.37/584.10 = 145.83/x
  3. Step 3: Cross multiply
    389.37x = 584.10 × 145.83
  4. Step 4: Simplify right side
    389.37x = 85,179.30
  5. Step 5: Solve for x
    x = 85,179.30/389.37
  6. Step 6: Final answer
    x = 218.76

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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.