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Finding the Fourth Proportional to 199.27, 298.94 and 175.03

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Solution

The fourth proportional to 199.27, 298.94 and 175.03 is: 262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.27 : 298.94 = 175.03 : x
  2. Step 2: Convert to fraction form
    199.27/298.94 = 175.03/x
  3. Step 3: Cross multiply
    199.27x = 298.94 × 175.03
  4. Step 4: Simplify right side
    199.27x = 52,323.47
  5. Step 5: Solve for x
    x = 52,323.47/199.27
  6. Step 6: Final answer
    x = 262.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.