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Finding the Fourth Proportional to 320.07, 441.54 and 195.69

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Solution

The fourth proportional to 320.07, 441.54 and 195.69 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.07 : 441.54 = 195.69 : x
  2. Step 2: Convert to fraction form
    320.07/441.54 = 195.69/x
  3. Step 3: Cross multiply
    320.07x = 441.54 × 195.69
  4. Step 4: Simplify right side
    320.07x = 86,404.96
  5. Step 5: Solve for x
    x = 86,404.96/320.07
  6. Step 6: Final answer
    x = 269.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.