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Finding the Fourth Proportional to 257.21, 384.21 and 169.82

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Solution

The fourth proportional to 257.21, 384.21 and 169.82 is: 253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.21 : 384.21 = 169.82 : x
  2. Step 2: Convert to fraction form
    257.21/384.21 = 169.82/x
  3. Step 3: Cross multiply
    257.21x = 384.21 × 169.82
  4. Step 4: Simplify right side
    257.21x = 65,245.69
  5. Step 5: Solve for x
    x = 65,245.69/257.21
  6. Step 6: Final answer
    x = 253.67

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Why These Related Problems?

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