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Finding the Fourth Proportional to 257.84, 355.20 and 206

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Solution

The fourth proportional to 257.84, 355.20 and 206 is: 283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 355.20 = 206 : x
  2. Step 2: Convert to fraction form
    257.84/355.20 = 206/x
  3. Step 3: Cross multiply
    257.84x = 355.20 × 206
  4. Step 4: Simplify right side
    257.84x = 73,171.20
  5. Step 5: Solve for x
    x = 73,171.20/257.84
  6. Step 6: Final answer
    x = 283.79

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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.