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Finding the Fourth Proportional to 256.01, 383.79 and 119.13

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Solution

The fourth proportional to 256.01, 383.79 and 119.13 is: 178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.01 : 383.79 = 119.13 : x
  2. Step 2: Convert to fraction form
    256.01/383.79 = 119.13/x
  3. Step 3: Cross multiply
    256.01x = 383.79 × 119.13
  4. Step 4: Simplify right side
    256.01x = 45,720.90
  5. Step 5: Solve for x
    x = 45,720.90/256.01
  6. Step 6: Final answer
    x = 178.59

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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.