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Finding the Fourth Proportional to 259.45, 389.25 and 94.93

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Solution

The fourth proportional to 259.45, 389.25 and 94.93 is: 142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.45 : 389.25 = 94.93 : x
  2. Step 2: Convert to fraction form
    259.45/389.25 = 94.93/x
  3. Step 3: Cross multiply
    259.45x = 389.25 × 94.93
  4. Step 4: Simplify right side
    259.45x = 36,951.50
  5. Step 5: Solve for x
    x = 36,951.50/259.45
  6. Step 6: Final answer
    x = 142.42

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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.