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Finding the Fourth Proportional to 357.85, 537.23 and 195.65

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Solution

The fourth proportional to 357.85, 537.23 and 195.65 is: 293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.85 : 537.23 = 195.65 : x
  2. Step 2: Convert to fraction form
    357.85/537.23 = 195.65/x
  3. Step 3: Cross multiply
    357.85x = 537.23 × 195.65
  4. Step 4: Simplify right side
    357.85x = 105,105.39
  5. Step 5: Solve for x
    x = 105,105.39/357.85
  6. Step 6: Final answer
    x = 293.72

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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.