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Finding the Fourth Proportional to 173, 238.67 and 110.84

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Solution

The fourth proportional to 173, 238.67 and 110.84 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173 : 238.67 = 110.84 : x
  2. Step 2: Convert to fraction form
    173/238.67 = 110.84/x
  3. Step 3: Cross multiply
    173x = 238.67 × 110.84
  4. Step 4: Simplify right side
    173x = 26,454.18
  5. Step 5: Solve for x
    x = 26,454.18/173
  6. Step 6: Final answer
    x = 152.91

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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.