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Finding the Fourth Proportional to 299.35, 413.24 and 201.16

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Solution

The fourth proportional to 299.35, 413.24 and 201.16 is: 277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 413.24 = 201.16 : x
  2. Step 2: Convert to fraction form
    299.35/413.24 = 201.16/x
  3. Step 3: Cross multiply
    299.35x = 413.24 × 201.16
  4. Step 4: Simplify right side
    299.35x = 83,125.32
  5. Step 5: Solve for x
    x = 83,125.32/299.35
  6. Step 6: Final answer
    x = 277.69

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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.