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Finding the Fourth Proportional to 197.51, 294.32 and 190.98

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Solution

The fourth proportional to 197.51, 294.32 and 190.98 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.51 : 294.32 = 190.98 : x
  2. Step 2: Convert to fraction form
    197.51/294.32 = 190.98/x
  3. Step 3: Cross multiply
    197.51x = 294.32 × 190.98
  4. Step 4: Simplify right side
    197.51x = 56,208.28
  5. Step 5: Solve for x
    x = 56,208.28/197.51
  6. Step 6: Final answer
    x = 284.59

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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.