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Finding the Fourth Proportional to 354.46, 489.14 and 199.22

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Solution

The fourth proportional to 354.46, 489.14 and 199.22 is: 274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.46 : 489.14 = 199.22 : x
  2. Step 2: Convert to fraction form
    354.46/489.14 = 199.22/x
  3. Step 3: Cross multiply
    354.46x = 489.14 × 199.22
  4. Step 4: Simplify right side
    354.46x = 97,446.47
  5. Step 5: Solve for x
    x = 97,446.47/354.46
  6. Step 6: Final answer
    x = 274.92

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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.