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Finding the Fourth Proportional to 299.65, 413.40 and 189.08

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Solution

The fourth proportional to 299.65, 413.40 and 189.08 is: 260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.65 : 413.40 = 189.08 : x
  2. Step 2: Convert to fraction form
    299.65/413.40 = 189.08/x
  3. Step 3: Cross multiply
    299.65x = 413.40 × 189.08
  4. Step 4: Simplify right side
    299.65x = 78,168.19
  5. Step 5: Solve for x
    x = 78,168.19/299.65
  6. Step 6: Final answer
    x = 260.87

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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.