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Finding the Fourth Proportional to 275.60, 380.56 and 197.16

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Solution

The fourth proportional to 275.60, 380.56 and 197.16 is: 272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.60 : 380.56 = 197.16 : x
  2. Step 2: Convert to fraction form
    275.60/380.56 = 197.16/x
  3. Step 3: Cross multiply
    275.60x = 380.56 × 197.16
  4. Step 4: Simplify right side
    275.60x = 75,031.21
  5. Step 5: Solve for x
    x = 75,031.21/275.60
  6. Step 6: Final answer
    x = 272.25

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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.