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Finding the Fourth Proportional to 745.38, 1,117.97 and 197.54

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Solution

The fourth proportional to 745.38, 1,117.97 and 197.54 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.38 : 1,117.97 = 197.54 : x
  2. Step 2: Convert to fraction form
    745.38/1,117.97 = 197.54/x
  3. Step 3: Cross multiply
    745.38x = 1,117.97 × 197.54
  4. Step 4: Simplify right side
    745.38x = 220,845.60
  5. Step 5: Solve for x
    x = 220,845.60/745.38
  6. Step 6: Final answer
    x = 296.29

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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.