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Finding the Fourth Proportional to 356.96, 492.64 and 226

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Solution

The fourth proportional to 356.96, 492.64 and 226 is: 311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.96 : 492.64 = 226 : x
  2. Step 2: Convert to fraction form
    356.96/492.64 = 226/x
  3. Step 3: Cross multiply
    356.96x = 492.64 × 226
  4. Step 4: Simplify right side
    356.96x = 111,336.64
  5. Step 5: Solve for x
    x = 111,336.64/356.96
  6. Step 6: Final answer
    x = 311.90

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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.