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Finding the Fourth Proportional to 356.82, 492.39 and 216.96

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Solution

The fourth proportional to 356.82, 492.39 and 216.96 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.82 : 492.39 = 216.96 : x
  2. Step 2: Convert to fraction form
    356.82/492.39 = 216.96/x
  3. Step 3: Cross multiply
    356.82x = 492.39 × 216.96
  4. Step 4: Simplify right side
    356.82x = 106,828.93
  5. Step 5: Solve for x
    x = 106,828.93/356.82
  6. Step 6: Final answer
    x = 299.39

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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.