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Finding the Fourth Proportional to 299.70, 413.58 and 175.44

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Solution

The fourth proportional to 299.70, 413.58 and 175.44 is: 242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 413.58 = 175.44 : x
  2. Step 2: Convert to fraction form
    299.70/413.58 = 175.44/x
  3. Step 3: Cross multiply
    299.70x = 413.58 × 175.44
  4. Step 4: Simplify right side
    299.70x = 72,558.48
  5. Step 5: Solve for x
    x = 72,558.48/299.70
  6. Step 6: Final answer
    x = 242.10

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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.