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Finding the Fourth Proportional to 197.84, 294.84 and 192.98

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Solution

The fourth proportional to 197.84, 294.84 and 192.98 is: 287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 294.84 = 192.98 : x
  2. Step 2: Convert to fraction form
    197.84/294.84 = 192.98/x
  3. Step 3: Cross multiply
    197.84x = 294.84 × 192.98
  4. Step 4: Simplify right side
    197.84x = 56,898.96
  5. Step 5: Solve for x
    x = 56,898.96/197.84
  6. Step 6: Final answer
    x = 287.60

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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.