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Finding the Fourth Proportional to 173.14, 238.94 and 114.82

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Solution

The fourth proportional to 173.14, 238.94 and 114.82 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 238.94 = 114.82 : x
  2. Step 2: Convert to fraction form
    173.14/238.94 = 114.82/x
  3. Step 3: Cross multiply
    173.14x = 238.94 × 114.82
  4. Step 4: Simplify right side
    173.14x = 27,433.32
  5. Step 5: Solve for x
    x = 27,433.32/173.14
  6. Step 6: Final answer
    x = 158.45

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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.