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Finding the Fourth Proportional to 309.75, 465.08 and 194.92

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Solution

The fourth proportional to 309.75, 465.08 and 194.92 is: 292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.75 : 465.08 = 194.92 : x
  2. Step 2: Convert to fraction form
    309.75/465.08 = 194.92/x
  3. Step 3: Cross multiply
    309.75x = 465.08 × 194.92
  4. Step 4: Simplify right side
    309.75x = 90,653.39
  5. Step 5: Solve for x
    x = 90,653.39/309.75
  6. Step 6: Final answer
    x = 292.67

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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.