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Finding the Fourth Proportional to 380.26, 570.47 and 136.78

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Solution

The fourth proportional to 380.26, 570.47 and 136.78 is: 205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.26 : 570.47 = 136.78 : x
  2. Step 2: Convert to fraction form
    380.26/570.47 = 136.78/x
  3. Step 3: Cross multiply
    380.26x = 570.47 × 136.78
  4. Step 4: Simplify right side
    380.26x = 78,028.89
  5. Step 5: Solve for x
    x = 78,028.89/380.26
  6. Step 6: Final answer
    x = 205.20

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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.