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Finding the Fourth Proportional to 356.82, 492.54 and 238.98

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Solution

The fourth proportional to 356.82, 492.54 and 238.98 is: 329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.82 : 492.54 = 238.98 : x
  2. Step 2: Convert to fraction form
    356.82/492.54 = 238.98/x
  3. Step 3: Cross multiply
    356.82x = 492.54 × 238.98
  4. Step 4: Simplify right side
    356.82x = 117,707.21
  5. Step 5: Solve for x
    x = 117,707.21/356.82
  6. Step 6: Final answer
    x = 329.88

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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.