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Finding the Fourth Proportional to 197.61, 294.09 and 190.32

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Solution

The fourth proportional to 197.61, 294.09 and 190.32 is: 283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.61 : 294.09 = 190.32 : x
  2. Step 2: Convert to fraction form
    197.61/294.09 = 190.32/x
  3. Step 3: Cross multiply
    197.61x = 294.09 × 190.32
  4. Step 4: Simplify right side
    197.61x = 55,973.21
  5. Step 5: Solve for x
    x = 55,973.21/197.61
  6. Step 6: Final answer
    x = 283.24

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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.