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Finding the Fourth Proportional to 299.32, 413.09 and 175.03

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Solution

The fourth proportional to 299.32, 413.09 and 175.03 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 413.09 = 175.03 : x
  2. Step 2: Convert to fraction form
    299.32/413.09 = 175.03/x
  3. Step 3: Cross multiply
    299.32x = 413.09 × 175.03
  4. Step 4: Simplify right side
    299.32x = 72,303.14
  5. Step 5: Solve for x
    x = 72,303.14/299.32
  6. Step 6: Final answer
    x = 241.56

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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.