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Finding the Fourth Proportional to 354.88, 489.77 and 199.63

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Solution

The fourth proportional to 354.88, 489.77 and 199.63 is: 275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.88 : 489.77 = 199.63 : x
  2. Step 2: Convert to fraction form
    354.88/489.77 = 199.63/x
  3. Step 3: Cross multiply
    354.88x = 489.77 × 199.63
  4. Step 4: Simplify right side
    354.88x = 97,772.79
  5. Step 5: Solve for x
    x = 97,772.79/354.88
  6. Step 6: Final answer
    x = 275.51

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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.