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Finding the Fourth Proportional to 608.15, 911.76 and 197.06

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Solution

The fourth proportional to 608.15, 911.76 and 197.06 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.15 : 911.76 = 197.06 : x
  2. Step 2: Convert to fraction form
    608.15/911.76 = 197.06/x
  3. Step 3: Cross multiply
    608.15x = 911.76 × 197.06
  4. Step 4: Simplify right side
    608.15x = 179,666.87
  5. Step 5: Solve for x
    x = 179,666.87/608.15
  6. Step 6: Final answer
    x = 295.43

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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.