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Finding the Fourth Proportional to 257.62, 384.59 and 223.62

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Solution

The fourth proportional to 257.62, 384.59 and 223.62 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.62 : 384.59 = 223.62 : x
  2. Step 2: Convert to fraction form
    257.62/384.59 = 223.62/x
  3. Step 3: Cross multiply
    257.62x = 384.59 × 223.62
  4. Step 4: Simplify right side
    257.62x = 86,000.90
  5. Step 5: Solve for x
    x = 86,000.90/257.62
  6. Step 6: Final answer
    x = 333.83

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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.