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Finding the Fourth Proportional to 354.94, 489.83 and 197.57

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Solution

The fourth proportional to 354.94, 489.83 and 197.57 is: 272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.94 : 489.83 = 197.57 : x
  2. Step 2: Convert to fraction form
    354.94/489.83 = 197.57/x
  3. Step 3: Cross multiply
    354.94x = 489.83 × 197.57
  4. Step 4: Simplify right side
    354.94x = 96,775.95
  5. Step 5: Solve for x
    x = 96,775.95/354.94
  6. Step 6: Final answer
    x = 272.66

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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.