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Finding the Fourth Proportional to 354.84, 489.67 and 197.47

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Solution

The fourth proportional to 354.84, 489.67 and 197.47 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.84 : 489.67 = 197.47 : x
  2. Step 2: Convert to fraction form
    354.84/489.67 = 197.47/x
  3. Step 3: Cross multiply
    354.84x = 489.67 × 197.47
  4. Step 4: Simplify right side
    354.84x = 96,695.13
  5. Step 5: Solve for x
    x = 96,695.13/354.84
  6. Step 6: Final answer
    x = 272.50

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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.