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Finding the Fourth Proportional to 173.06, 238.64 and 110.90

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Solution

The fourth proportional to 173.06, 238.64 and 110.90 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.06 : 238.64 = 110.90 : x
  2. Step 2: Convert to fraction form
    173.06/238.64 = 110.90/x
  3. Step 3: Cross multiply
    173.06x = 238.64 × 110.90
  4. Step 4: Simplify right side
    173.06x = 26,463.43
  5. Step 5: Solve for x
    x = 26,463.43/173.06
  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.