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Finding the Fourth Proportional to 344.65, 475.63 and 197.30

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Solution

The fourth proportional to 344.65, 475.63 and 197.30 is: 272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.65 : 475.63 = 197.30 : x
  2. Step 2: Convert to fraction form
    344.65/475.63 = 197.30/x
  3. Step 3: Cross multiply
    344.65x = 475.63 × 197.30
  4. Step 4: Simplify right side
    344.65x = 93,841.80
  5. Step 5: Solve for x
    x = 93,841.80/344.65
  6. Step 6: Final answer
    x = 272.28

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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.