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Finding the Fourth Proportional to 197.30, 271.71 and 148.29

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Solution

The fourth proportional to 197.30, 271.71 and 148.29 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.30 : 271.71 = 148.29 : x
  2. Step 2: Convert to fraction form
    197.30/271.71 = 148.29/x
  3. Step 3: Cross multiply
    197.30x = 271.71 × 148.29
  4. Step 4: Simplify right side
    197.30x = 40,291.88
  5. Step 5: Solve for x
    x = 40,291.88/197.30
  6. Step 6: Final answer
    x = 204.22

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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.