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Finding the Fourth Proportional to 193.56, 290.03 and 101.98

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Solution

The fourth proportional to 193.56, 290.03 and 101.98 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 290.03 = 101.98 : x
  2. Step 2: Convert to fraction form
    193.56/290.03 = 101.98/x
  3. Step 3: Cross multiply
    193.56x = 290.03 × 101.98
  4. Step 4: Simplify right side
    193.56x = 29,576.05
  5. Step 5: Solve for x
    x = 29,576.05/193.56
  6. Step 6: Final answer
    x = 152.80

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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.