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Finding the Fourth Proportional to 655.08, 982.37 and 192.74

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Solution

The fourth proportional to 655.08, 982.37 and 192.74 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.08 : 982.37 = 192.74 : x
  2. Step 2: Convert to fraction form
    655.08/982.37 = 192.74/x
  3. Step 3: Cross multiply
    655.08x = 982.37 × 192.74
  4. Step 4: Simplify right side
    655.08x = 189,337.56
  5. Step 5: Solve for x
    x = 189,337.56/655.08
  6. Step 6: Final answer
    x = 289.03

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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.