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Finding the Fourth Proportional to 625.84, 938.90 and 192.99

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Solution

The fourth proportional to 625.84, 938.90 and 192.99 is: 289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.84 : 938.90 = 192.99 : x
  2. Step 2: Convert to fraction form
    625.84/938.90 = 192.99/x
  3. Step 3: Cross multiply
    625.84x = 938.90 × 192.99
  4. Step 4: Simplify right side
    625.84x = 181,198.31
  5. Step 5: Solve for x
    x = 181,198.31/625.84
  6. Step 6: Final answer
    x = 289.53

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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.