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Finding the Fourth Proportional to 299.42, 413.14 and 175.10

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Solution

The fourth proportional to 299.42, 413.14 and 175.10 is: 241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.42 : 413.14 = 175.10 : x
  2. Step 2: Convert to fraction form
    299.42/413.14 = 175.10/x
  3. Step 3: Cross multiply
    299.42x = 413.14 × 175.10
  4. Step 4: Simplify right side
    299.42x = 72,338.31
  5. Step 5: Solve for x
    x = 72,338.31/299.42
  6. Step 6: Final answer
    x = 241.60

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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.