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Finding the Fourth Proportional to 256.23, 384.69 and 119.37

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Solution

The fourth proportional to 256.23, 384.69 and 119.37 is: 179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 384.69 = 119.37 : x
  2. Step 2: Convert to fraction form
    256.23/384.69 = 119.37/x
  3. Step 3: Cross multiply
    256.23x = 384.69 × 119.37
  4. Step 4: Simplify right side
    256.23x = 45,920.25
  5. Step 5: Solve for x
    x = 45,920.25/256.23
  6. Step 6: Final answer
    x = 179.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.