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Finding the Fourth Proportional to 257.25, 354.19 and 219.83

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Solution

The fourth proportional to 257.25, 354.19 and 219.83 is: 302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.25 : 354.19 = 219.83 : x
  2. Step 2: Convert to fraction form
    257.25/354.19 = 219.83/x
  3. Step 3: Cross multiply
    257.25x = 354.19 × 219.83
  4. Step 4: Simplify right side
    257.25x = 77,861.59
  5. Step 5: Solve for x
    x = 77,861.59/257.25
  6. Step 6: Final answer
    x = 302.67

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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.