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Finding the Fourth Proportional to 608.57, 912.95 and 197.67

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Solution

The fourth proportional to 608.57, 912.95 and 197.67 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.57 : 912.95 = 197.67 : x
  2. Step 2: Convert to fraction form
    608.57/912.95 = 197.67/x
  3. Step 3: Cross multiply
    608.57x = 912.95 × 197.67
  4. Step 4: Simplify right side
    608.57x = 180,461.84
  5. Step 5: Solve for x
    x = 180,461.84/608.57
  6. Step 6: Final answer
    x = 296.54

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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.