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Finding the Fourth Proportional to 383.91, 575.87 and 178.42

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Solution

The fourth proportional to 383.91, 575.87 and 178.42 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.91 : 575.87 = 178.42 : x
  2. Step 2: Convert to fraction form
    383.91/575.87 = 178.42/x
  3. Step 3: Cross multiply
    383.91x = 575.87 × 178.42
  4. Step 4: Simplify right side
    383.91x = 102,746.73
  5. Step 5: Solve for x
    x = 102,746.73/383.91
  6. Step 6: Final answer
    x = 267.63

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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.