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Finding the Fourth Proportional to 383.92, 575.46 and 188.62

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Solution

The fourth proportional to 383.92, 575.46 and 188.62 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 575.46 = 188.62 : x
  2. Step 2: Convert to fraction form
    383.92/575.46 = 188.62/x
  3. Step 3: Cross multiply
    383.92x = 575.46 × 188.62
  4. Step 4: Simplify right side
    383.92x = 108,543.27
  5. Step 5: Solve for x
    x = 108,543.27/383.92
  6. Step 6: Final answer
    x = 282.72

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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.