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Finding the Fourth Proportional to 256.12, 384.26 and 119.26

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Solution

The fourth proportional to 256.12, 384.26 and 119.26 is: 178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.12 : 384.26 = 119.26 : x
  2. Step 2: Convert to fraction form
    256.12/384.26 = 119.26/x
  3. Step 3: Cross multiply
    256.12x = 384.26 × 119.26
  4. Step 4: Simplify right side
    256.12x = 45,827.11
  5. Step 5: Solve for x
    x = 45,827.11/256.12
  6. Step 6: Final answer
    x = 178.93

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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.