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Finding the Fourth Proportional to 256.59, 384.71 and 119.57

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Solution

The fourth proportional to 256.59, 384.71 and 119.57 is: 179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 384.71 = 119.57 : x
  2. Step 2: Convert to fraction form
    256.59/384.71 = 119.57/x
  3. Step 3: Cross multiply
    256.59x = 384.71 × 119.57
  4. Step 4: Simplify right side
    256.59x = 45,997.85
  5. Step 5: Solve for x
    x = 45,997.85/256.59
  6. Step 6: Final answer
    x = 179.27

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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.