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Finding the Fourth Proportional to 354.67, 489.40 and 197.31

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Solution

The fourth proportional to 354.67, 489.40 and 197.31 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.67 : 489.40 = 197.31 : x
  2. Step 2: Convert to fraction form
    354.67/489.40 = 197.31/x
  3. Step 3: Cross multiply
    354.67x = 489.40 × 197.31
  4. Step 4: Simplify right side
    354.67x = 96,563.51
  5. Step 5: Solve for x
    x = 96,563.51/354.67
  6. Step 6: Final answer
    x = 272.26

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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.