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Finding the Fourth Proportional to 608.38, 912.53 and 197.60

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Solution

The fourth proportional to 608.38, 912.53 and 197.60 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.38 : 912.53 = 197.60 : x
  2. Step 2: Convert to fraction form
    608.38/912.53 = 197.60/x
  3. Step 3: Cross multiply
    608.38x = 912.53 × 197.60
  4. Step 4: Simplify right side
    608.38x = 180,311.86
  5. Step 5: Solve for x
    x = 180,311.86/608.38
  6. Step 6: Final answer
    x = 296.38

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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.