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Finding the Fourth Proportional to 197.37, 271.71 and 148.17

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Solution

The fourth proportional to 197.37, 271.71 and 148.17 is: 203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.37 : 271.71 = 148.17 : x
  2. Step 2: Convert to fraction form
    197.37/271.71 = 148.17/x
  3. Step 3: Cross multiply
    197.37x = 271.71 × 148.17
  4. Step 4: Simplify right side
    197.37x = 40,259.27
  5. Step 5: Solve for x
    x = 40,259.27/197.37
  6. Step 6: Final answer
    x = 203.98

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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.