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Finding the Fourth Proportional to 238.14, 356.40 and 172.94

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Solution

The fourth proportional to 238.14, 356.40 and 172.94 is: 258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 356.40 = 172.94 : x
  2. Step 2: Convert to fraction form
    238.14/356.40 = 172.94/x
  3. Step 3: Cross multiply
    238.14x = 356.40 × 172.94
  4. Step 4: Simplify right side
    238.14x = 61,634.03
  5. Step 5: Solve for x
    x = 61,634.03/238.14
  6. Step 6: Final answer
    x = 258.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.