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Finding the Fourth Proportional to 608.68, 913.19 and 197.81

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Solution

The fourth proportional to 608.68, 913.19 and 197.81 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.68 : 913.19 = 197.81 : x
  2. Step 2: Convert to fraction form
    608.68/913.19 = 197.81/x
  3. Step 3: Cross multiply
    608.68x = 913.19 × 197.81
  4. Step 4: Simplify right side
    608.68x = 180,638.11
  5. Step 5: Solve for x
    x = 180,638.11/608.68
  6. Step 6: Final answer
    x = 296.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.