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Finding the Fourth Proportional to 354.87, 489.75 and 197.52

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Solution

The fourth proportional to 354.87, 489.75 and 197.52 is: 272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.87 : 489.75 = 197.52 : x
  2. Step 2: Convert to fraction form
    354.87/489.75 = 197.52/x
  3. Step 3: Cross multiply
    354.87x = 489.75 × 197.52
  4. Step 4: Simplify right side
    354.87x = 96,735.42
  5. Step 5: Solve for x
    x = 96,735.42/354.87
  6. Step 6: Final answer
    x = 272.59

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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.