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Finding the Fourth Proportional to 354.52, 489.26 and 199.28

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Solution

The fourth proportional to 354.52, 489.26 and 199.28 is: 275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.52 : 489.26 = 199.28 : x
  2. Step 2: Convert to fraction form
    354.52/489.26 = 199.28/x
  3. Step 3: Cross multiply
    354.52x = 489.26 × 199.28
  4. Step 4: Simplify right side
    354.52x = 97,499.73
  5. Step 5: Solve for x
    x = 97,499.73/354.52
  6. Step 6: Final answer
    x = 275.02

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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.