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Finding the Fourth Proportional to 350.14, 524.05 and 193.73

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Solution

The fourth proportional to 350.14, 524.05 and 193.73 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.14 : 524.05 = 193.73 : x
  2. Step 2: Convert to fraction form
    350.14/524.05 = 193.73/x
  3. Step 3: Cross multiply
    350.14x = 524.05 × 193.73
  4. Step 4: Simplify right side
    350.14x = 101,522.19
  5. Step 5: Solve for x
    x = 101,522.19/350.14
  6. Step 6: Final answer
    x = 289.95

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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.