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Finding the Fourth Proportional to 312.92, 469.69 and 197.59

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Solution

The fourth proportional to 312.92, 469.69 and 197.59 is: 296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.92 : 469.69 = 197.59 : x
  2. Step 2: Convert to fraction form
    312.92/469.69 = 197.59/x
  3. Step 3: Cross multiply
    312.92x = 469.69 × 197.59
  4. Step 4: Simplify right side
    312.92x = 92,806.23
  5. Step 5: Solve for x
    x = 92,806.23/312.92
  6. Step 6: Final answer
    x = 296.58

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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.