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Finding the Fourth Proportional to 193.17, 290.06 and 102.05

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Solution

The fourth proportional to 193.17, 290.06 and 102.05 is: 153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.17 : 290.06 = 102.05 : x
  2. Step 2: Convert to fraction form
    193.17/290.06 = 102.05/x
  3. Step 3: Cross multiply
    193.17x = 290.06 × 102.05
  4. Step 4: Simplify right side
    193.17x = 29,600.62
  5. Step 5: Solve for x
    x = 29,600.62/193.17
  6. Step 6: Final answer
    x = 153.24

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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.