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Finding the Fourth Proportional to 380.45, 570.64 and 136.96

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Solution

The fourth proportional to 380.45, 570.64 and 136.96 is: 205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.45 : 570.64 = 136.96 : x
  2. Step 2: Convert to fraction form
    380.45/570.64 = 136.96/x
  3. Step 3: Cross multiply
    380.45x = 570.64 × 136.96
  4. Step 4: Simplify right side
    380.45x = 78,154.85
  5. Step 5: Solve for x
    x = 78,154.85/380.45
  6. Step 6: Final answer
    x = 205.43

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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.