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Finding the Fourth Proportional to 299.40, 413.16 and 201

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Solution

The fourth proportional to 299.40, 413.16 and 201 is: 277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.40 : 413.16 = 201 : x
  2. Step 2: Convert to fraction form
    299.40/413.16 = 201/x
  3. Step 3: Cross multiply
    299.40x = 413.16 × 201
  4. Step 4: Simplify right side
    299.40x = 83,045.16
  5. Step 5: Solve for x
    x = 83,045.16/299.40
  6. Step 6: Final answer
    x = 277.37

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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.