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Finding the Fourth Proportional to 193.53, 290.31 and 142.77

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Solution

The fourth proportional to 193.53, 290.31 and 142.77 is: 214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.53 : 290.31 = 142.77 : x
  2. Step 2: Convert to fraction form
    193.53/290.31 = 142.77/x
  3. Step 3: Cross multiply
    193.53x = 290.31 × 142.77
  4. Step 4: Simplify right side
    193.53x = 41,447.56
  5. Step 5: Solve for x
    x = 41,447.56/193.53
  6. Step 6: Final answer
    x = 214.17

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Why These Related Problems?

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