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Finding the Fourth Proportional to 248.16, 342.09 and 199.07

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Solution

The fourth proportional to 248.16, 342.09 and 199.07 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.16 : 342.09 = 199.07 : x
  2. Step 2: Convert to fraction form
    248.16/342.09 = 199.07/x
  3. Step 3: Cross multiply
    248.16x = 342.09 × 199.07
  4. Step 4: Simplify right side
    248.16x = 68,098.15
  5. Step 5: Solve for x
    x = 68,098.15/248.16
  6. Step 6: Final answer
    x = 274.41

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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.