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Finding the Fourth Proportional to 193.66, 290.43 and 155.05

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Solution

The fourth proportional to 193.66, 290.43 and 155.05 is: 232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.66 : 290.43 = 155.05 : x
  2. Step 2: Convert to fraction form
    193.66/290.43 = 155.05/x
  3. Step 3: Cross multiply
    193.66x = 290.43 × 155.05
  4. Step 4: Simplify right side
    193.66x = 45,031.17
  5. Step 5: Solve for x
    x = 45,031.17/193.66
  6. Step 6: Final answer
    x = 232.53

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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.