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Finding the Fourth Proportional to 655.26, 982.91 and 193.05

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Solution

The fourth proportional to 655.26, 982.91 and 193.05 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.26 : 982.91 = 193.05 : x
  2. Step 2: Convert to fraction form
    655.26/982.91 = 193.05/x
  3. Step 3: Cross multiply
    655.26x = 982.91 × 193.05
  4. Step 4: Simplify right side
    655.26x = 189,749.81
  5. Step 5: Solve for x
    x = 189,749.81/655.26
  6. Step 6: Final answer
    x = 289.58

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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.