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Finding the Fourth Proportional to 655.14, 982.86 and 192.90

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Solution

The fourth proportional to 655.14, 982.86 and 192.90 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.14 : 982.86 = 192.90 : x
  2. Step 2: Convert to fraction form
    655.14/982.86 = 192.90/x
  3. Step 3: Cross multiply
    655.14x = 982.86 × 192.90
  4. Step 4: Simplify right side
    655.14x = 189,593.69
  5. Step 5: Solve for x
    x = 189,593.69/655.14
  6. Step 6: Final answer
    x = 289.39

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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.