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Finding the Fourth Proportional to 344.92, 476.05 and 197.65

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Solution

The fourth proportional to 344.92, 476.05 and 197.65 is: 272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.92 : 476.05 = 197.65 : x
  2. Step 2: Convert to fraction form
    344.92/476.05 = 197.65/x
  3. Step 3: Cross multiply
    344.92x = 476.05 × 197.65
  4. Step 4: Simplify right side
    344.92x = 94,092.02
  5. Step 5: Solve for x
    x = 94,092.02/344.92
  6. Step 6: Final answer
    x = 272.80

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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.