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Finding the Fourth Proportional to 383.92, 575.88 and 178.55

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Solution

The fourth proportional to 383.92, 575.88 and 178.55 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 575.88 = 178.55 : x
  2. Step 2: Convert to fraction form
    383.92/575.88 = 178.55/x
  3. Step 3: Cross multiply
    383.92x = 575.88 × 178.55
  4. Step 4: Simplify right side
    383.92x = 102,820.36
  5. Step 5: Solve for x
    x = 102,820.36/383.92
  6. Step 6: Final answer
    x = 267.82

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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.