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Finding the Fourth Proportional to 355.07, 489.96 and 205.70

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Solution

The fourth proportional to 355.07, 489.96 and 205.70 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.07 : 489.96 = 205.70 : x
  2. Step 2: Convert to fraction form
    355.07/489.96 = 205.70/x
  3. Step 3: Cross multiply
    355.07x = 489.96 × 205.70
  4. Step 4: Simplify right side
    355.07x = 100,782.32
  5. Step 5: Solve for x
    x = 100,782.32/355.07
  6. Step 6: Final answer
    x = 283.84

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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.