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Finding the Fourth Proportional to 257.79, 355.76 and 198.84

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Solution

The fourth proportional to 257.79, 355.76 and 198.84 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.79 : 355.76 = 198.84 : x
  2. Step 2: Convert to fraction form
    257.79/355.76 = 198.84/x
  3. Step 3: Cross multiply
    257.79x = 355.76 × 198.84
  4. Step 4: Simplify right side
    257.79x = 70,739.32
  5. Step 5: Solve for x
    x = 70,739.32/257.79
  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.