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Finding the Fourth Proportional to 256.78, 384.75 and 119.80

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Solution

The fourth proportional to 256.78, 384.75 and 119.80 is: 179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.78 : 384.75 = 119.80 : x
  2. Step 2: Convert to fraction form
    256.78/384.75 = 119.80/x
  3. Step 3: Cross multiply
    256.78x = 384.75 × 119.80
  4. Step 4: Simplify right side
    256.78x = 46,091.13
  5. Step 5: Solve for x
    x = 46,091.13/256.78
  6. Step 6: Final answer
    x = 179.50

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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.