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Finding the Fourth Proportional to 354.30, 489.02 and 196.99

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Solution

The fourth proportional to 354.30, 489.02 and 196.99 is: 271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.30 : 489.02 = 196.99 : x
  2. Step 2: Convert to fraction form
    354.30/489.02 = 196.99/x
  3. Step 3: Cross multiply
    354.30x = 489.02 × 196.99
  4. Step 4: Simplify right side
    354.30x = 96,331.77
  5. Step 5: Solve for x
    x = 96,331.77/354.30
  6. Step 6: Final answer
    x = 271.89

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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.