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Finding the Fourth Proportional to 275.34, 379.71 and 197.58

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Solution

The fourth proportional to 275.34, 379.71 and 197.58 is: 272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 379.71 = 197.58 : x
  2. Step 2: Convert to fraction form
    275.34/379.71 = 197.58/x
  3. Step 3: Cross multiply
    275.34x = 379.71 × 197.58
  4. Step 4: Simplify right side
    275.34x = 75,023.10
  5. Step 5: Solve for x
    x = 75,023.10/275.34
  6. Step 6: Final answer
    x = 272.47

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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.