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Finding the Fourth Proportional to 257.65, 384.58 and 226.89

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Solution

The fourth proportional to 257.65, 384.58 and 226.89 is: 338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.65 : 384.58 = 226.89 : x
  2. Step 2: Convert to fraction form
    257.65/384.58 = 226.89/x
  3. Step 3: Cross multiply
    257.65x = 384.58 × 226.89
  4. Step 4: Simplify right side
    257.65x = 87,257.64
  5. Step 5: Solve for x
    x = 87,257.64/257.65
  6. Step 6: Final answer
    x = 338.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.