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Finding the Fourth Proportional to 570.57, 855.86 and 137.73

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Solution

The fourth proportional to 570.57, 855.86 and 137.73 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.57 : 855.86 = 137.73 : x
  2. Step 2: Convert to fraction form
    570.57/855.86 = 137.73/x
  3. Step 3: Cross multiply
    570.57x = 855.86 × 137.73
  4. Step 4: Simplify right side
    570.57x = 117,877.48
  5. Step 5: Solve for x
    x = 117,877.48/570.57
  6. Step 6: Final answer
    x = 206.59

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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.