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Finding the Fourth Proportional to 570.82, 855.90 and 180.91

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Solution

The fourth proportional to 570.82, 855.90 and 180.91 is: 271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.82 : 855.90 = 180.91 : x
  2. Step 2: Convert to fraction form
    570.82/855.90 = 180.91/x
  3. Step 3: Cross multiply
    570.82x = 855.90 × 180.91
  4. Step 4: Simplify right side
    570.82x = 154,843.84
  5. Step 5: Solve for x
    x = 154,843.84/570.82
  6. Step 6: Final answer
    x = 271.27

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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.