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Finding the Fourth Proportional to 256.22, 383.52 and 178.82

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Solution

The fourth proportional to 256.22, 383.52 and 178.82 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.22 : 383.52 = 178.82 : x
  2. Step 2: Convert to fraction form
    256.22/383.52 = 178.82/x
  3. Step 3: Cross multiply
    256.22x = 383.52 × 178.82
  4. Step 4: Simplify right side
    256.22x = 68,581.05
  5. Step 5: Solve for x
    x = 68,581.05/256.22
  6. Step 6: Final answer
    x = 267.66

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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.