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Finding the Fourth Proportional to 356.84, 492.36 and 226.04

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Solution

The fourth proportional to 356.84, 492.36 and 226.04 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.84 : 492.36 = 226.04 : x
  2. Step 2: Convert to fraction form
    356.84/492.36 = 226.04/x
  3. Step 3: Cross multiply
    356.84x = 492.36 × 226.04
  4. Step 4: Simplify right side
    356.84x = 111,293.05
  5. Step 5: Solve for x
    x = 111,293.05/356.84
  6. Step 6: Final answer
    x = 311.89

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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.