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Finding the Fourth Proportional to 193.88, 290.41 and 155.16

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Solution

The fourth proportional to 193.88, 290.41 and 155.16 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 290.41 = 155.16 : x
  2. Step 2: Convert to fraction form
    193.88/290.41 = 155.16/x
  3. Step 3: Cross multiply
    193.88x = 290.41 × 155.16
  4. Step 4: Simplify right side
    193.88x = 45,058.56
  5. Step 5: Solve for x
    x = 45,058.56/193.88
  6. Step 6: Final answer
    x = 232.40

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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.