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Finding the Fourth Proportional to 173.19, 238.68 and 142.01

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Solution

The fourth proportional to 173.19, 238.68 and 142.01 is: 195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.19 : 238.68 = 142.01 : x
  2. Step 2: Convert to fraction form
    173.19/238.68 = 142.01/x
  3. Step 3: Cross multiply
    173.19x = 238.68 × 142.01
  4. Step 4: Simplify right side
    173.19x = 33,894.95
  5. Step 5: Solve for x
    x = 33,894.95/173.19
  6. Step 6: Final answer
    x = 195.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.