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Finding the Fourth Proportional to 256, 383.60 and 178.80

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Solution

The fourth proportional to 256, 383.60 and 178.80 is: 267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 383.60 = 178.80 : x
  2. Step 2: Convert to fraction form
    256/383.60 = 178.80/x
  3. Step 3: Cross multiply
    256x = 383.60 × 178.80
  4. Step 4: Simplify right side
    256x = 68,587.68
  5. Step 5: Solve for x
    x = 68,587.68/256
  6. Step 6: Final answer
    x = 267.92

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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.