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Finding the Fourth Proportional to 383.98, 575.88 and 178.54

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Solution

The fourth proportional to 383.98, 575.88 and 178.54 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.98 : 575.88 = 178.54 : x
  2. Step 2: Convert to fraction form
    383.98/575.88 = 178.54/x
  3. Step 3: Cross multiply
    383.98x = 575.88 × 178.54
  4. Step 4: Simplify right side
    383.98x = 102,817.62
  5. Step 5: Solve for x
    x = 102,817.62/383.98
  6. Step 6: Final answer
    x = 267.77

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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.