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Finding the Fourth Proportional to 354.89, 489.75 and 199.64

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Solution

The fourth proportional to 354.89, 489.75 and 199.64 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.89 : 489.75 = 199.64 : x
  2. Step 2: Convert to fraction form
    354.89/489.75 = 199.64/x
  3. Step 3: Cross multiply
    354.89x = 489.75 × 199.64
  4. Step 4: Simplify right side
    354.89x = 97,773.69
  5. Step 5: Solve for x
    x = 97,773.69/354.89
  6. Step 6: Final answer
    x = 275.50

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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.