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Finding the Fourth Proportional to 357.98, 493.80 and 226.88

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Solution

The fourth proportional to 357.98, 493.80 and 226.88 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.98 : 493.80 = 226.88 : x
  2. Step 2: Convert to fraction form
    357.98/493.80 = 226.88/x
  3. Step 3: Cross multiply
    357.98x = 493.80 × 226.88
  4. Step 4: Simplify right side
    357.98x = 112,033.34
  5. Step 5: Solve for x
    x = 112,033.34/357.98
  6. Step 6: Final answer
    x = 312.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.