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Finding the Fourth Proportional to 354.56, 489.26 and 197.18

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Solution

The fourth proportional to 354.56, 489.26 and 197.18 is: 272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.56 : 489.26 = 197.18 : x
  2. Step 2: Convert to fraction form
    354.56/489.26 = 197.18/x
  3. Step 3: Cross multiply
    354.56x = 489.26 × 197.18
  4. Step 4: Simplify right side
    354.56x = 96,472.29
  5. Step 5: Solve for x
    x = 96,472.29/354.56
  6. Step 6: Final answer
    x = 272.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.