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Finding the Fourth Proportional to 197.42, 294.22 and 197.11

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Solution

The fourth proportional to 197.42, 294.22 and 197.11 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 294.22 = 197.11 : x
  2. Step 2: Convert to fraction form
    197.42/294.22 = 197.11/x
  3. Step 3: Cross multiply
    197.42x = 294.22 × 197.11
  4. Step 4: Simplify right side
    197.42x = 57,994.32
  5. Step 5: Solve for x
    x = 57,994.32/197.42
  6. Step 6: Final answer
    x = 293.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.