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Finding the Fourth Proportional to 354.62, 489.38 and 199.38

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Solution

The fourth proportional to 354.62, 489.38 and 199.38 is: 275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.62 : 489.38 = 199.38 : x
  2. Step 2: Convert to fraction form
    354.62/489.38 = 199.38/x
  3. Step 3: Cross multiply
    354.62x = 489.38 × 199.38
  4. Step 4: Simplify right side
    354.62x = 97,572.58
  5. Step 5: Solve for x
    x = 97,572.58/354.62
  6. Step 6: Final answer
    x = 275.15

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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.