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Finding the Fourth Proportional to 264.06, 394.23 and 238.14

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Solution

The fourth proportional to 264.06, 394.23 and 238.14 is: 355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 394.23 = 238.14 : x
  2. Step 2: Convert to fraction form
    264.06/394.23 = 238.14/x
  3. Step 3: Cross multiply
    264.06x = 394.23 × 238.14
  4. Step 4: Simplify right side
    264.06x = 93,879.37
  5. Step 5: Solve for x
    x = 93,879.37/264.06
  6. Step 6: Final answer
    x = 355.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.