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Finding the Fourth Proportional to 354.63, 489.38 and 197.25

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Solution

The fourth proportional to 354.63, 489.38 and 197.25 is: 272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.63 : 489.38 = 197.25 : x
  2. Step 2: Convert to fraction form
    354.63/489.38 = 197.25/x
  3. Step 3: Cross multiply
    354.63x = 489.38 × 197.25
  4. Step 4: Simplify right side
    354.63x = 96,530.21
  5. Step 5: Solve for x
    x = 96,530.21/354.63
  6. Step 6: Final answer
    x = 272.20

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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.