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Finding the Fourth Proportional to 605.65, 908.42 and 194.67

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Solution

The fourth proportional to 605.65, 908.42 and 194.67 is: 291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.65 : 908.42 = 194.67 : x
  2. Step 2: Convert to fraction form
    605.65/908.42 = 194.67/x
  3. Step 3: Cross multiply
    605.65x = 908.42 × 194.67
  4. Step 4: Simplify right side
    605.65x = 176,842.61
  5. Step 5: Solve for x
    x = 176,842.61/605.65
  6. Step 6: Final answer
    x = 291.99

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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.