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Finding the Fourth Proportional to 197.84, 297.04 and 116.76

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Solution

The fourth proportional to 197.84, 297.04 and 116.76 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 297.04 = 116.76 : x
  2. Step 2: Convert to fraction form
    197.84/297.04 = 116.76/x
  3. Step 3: Cross multiply
    197.84x = 297.04 × 116.76
  4. Step 4: Simplify right side
    197.84x = 34,682.39
  5. Step 5: Solve for x
    x = 34,682.39/197.84
  6. Step 6: Final answer
    x = 175.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.