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Finding the Fourth Proportional to 608.35, 912.42 and 197.43

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Solution

The fourth proportional to 608.35, 912.42 and 197.43 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.35 : 912.42 = 197.43 : x
  2. Step 2: Convert to fraction form
    608.35/912.42 = 197.43/x
  3. Step 3: Cross multiply
    608.35x = 912.42 × 197.43
  4. Step 4: Simplify right side
    608.35x = 180,139.57
  5. Step 5: Solve for x
    x = 180,139.57/608.35
  6. Step 6: Final answer
    x = 296.11

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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.