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Finding the Fourth Proportional to 232.46, 350.06 and 172.01

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Solution

The fourth proportional to 232.46, 350.06 and 172.01 is: 259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 350.06 = 172.01 : x
  2. Step 2: Convert to fraction form
    232.46/350.06 = 172.01/x
  3. Step 3: Cross multiply
    232.46x = 350.06 × 172.01
  4. Step 4: Simplify right side
    232.46x = 60,213.82
  5. Step 5: Solve for x
    x = 60,213.82/232.46
  6. Step 6: Final answer
    x = 259.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.