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Finding the Fourth Proportional to 268.24, 369.72 and 199.12

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Solution

The fourth proportional to 268.24, 369.72 and 199.12 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.24 : 369.72 = 199.12 : x
  2. Step 2: Convert to fraction form
    268.24/369.72 = 199.12/x
  3. Step 3: Cross multiply
    268.24x = 369.72 × 199.12
  4. Step 4: Simplify right side
    268.24x = 73,618.65
  5. Step 5: Solve for x
    x = 73,618.65/268.24
  6. Step 6: Final answer
    x = 274.45

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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.