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Finding the Fourth Proportional to 299.72, 413.62 and 175.36

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Solution

The fourth proportional to 299.72, 413.62 and 175.36 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 413.62 = 175.36 : x
  2. Step 2: Convert to fraction form
    299.72/413.62 = 175.36/x
  3. Step 3: Cross multiply
    299.72x = 413.62 × 175.36
  4. Step 4: Simplify right side
    299.72x = 72,532.40
  5. Step 5: Solve for x
    x = 72,532.40/299.72
  6. Step 6: Final answer
    x = 242.00

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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.