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Finding the Fourth Proportional to 197.21, 272.24 and 148.01

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Solution

The fourth proportional to 197.21, 272.24 and 148.01 is: 204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.21 : 272.24 = 148.01 : x
  2. Step 2: Convert to fraction form
    197.21/272.24 = 148.01/x
  3. Step 3: Cross multiply
    197.21x = 272.24 × 148.01
  4. Step 4: Simplify right side
    197.21x = 40,292.14
  5. Step 5: Solve for x
    x = 40,292.14/197.21
  6. Step 6: Final answer
    x = 204.32

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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.