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Finding the Fourth Proportional to 309.96, 465.09 and 194.38

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Solution

The fourth proportional to 309.96, 465.09 and 194.38 is: 291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 465.09 = 194.38 : x
  2. Step 2: Convert to fraction form
    309.96/465.09 = 194.38/x
  3. Step 3: Cross multiply
    309.96x = 465.09 × 194.38
  4. Step 4: Simplify right side
    309.96x = 90,404.19
  5. Step 5: Solve for x
    x = 90,404.19/309.96
  6. Step 6: Final answer
    x = 291.66

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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.