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Finding the Fourth Proportional to 173, 238.94 and 114.68

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Solution

The fourth proportional to 173, 238.94 and 114.68 is: 158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173 : 238.94 = 114.68 : x
  2. Step 2: Convert to fraction form
    173/238.94 = 114.68/x
  3. Step 3: Cross multiply
    173x = 238.94 × 114.68
  4. Step 4: Simplify right side
    173x = 27,401.93
  5. Step 5: Solve for x
    x = 27,401.93/173
  6. Step 6: Final answer
    x = 158.39

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Why These Related Problems?

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