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Finding the Fourth Proportional to 655.44, 983.15 and 193.25

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Solution

The fourth proportional to 655.44, 983.15 and 193.25 is: 289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.44 : 983.15 = 193.25 : x
  2. Step 2: Convert to fraction form
    655.44/983.15 = 193.25/x
  3. Step 3: Cross multiply
    655.44x = 983.15 × 193.25
  4. Step 4: Simplify right side
    655.44x = 189,993.74
  5. Step 5: Solve for x
    x = 189,993.74/655.44
  6. Step 6: Final answer
    x = 289.87

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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.