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Finding the Fourth Proportional to 299.85, 413.93 and 175.49

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Solution

The fourth proportional to 299.85, 413.93 and 175.49 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.85 : 413.93 = 175.49 : x
  2. Step 2: Convert to fraction form
    299.85/413.93 = 175.49/x
  3. Step 3: Cross multiply
    299.85x = 413.93 × 175.49
  4. Step 4: Simplify right side
    299.85x = 72,637.63
  5. Step 5: Solve for x
    x = 72,637.63/299.85
  6. Step 6: Final answer
    x = 242.25

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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.