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Finding the Fourth Proportional to 317.44, 476.58 and 180.73

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Solution

The fourth proportional to 317.44, 476.58 and 180.73 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.44 : 476.58 = 180.73 : x
  2. Step 2: Convert to fraction form
    317.44/476.58 = 180.73/x
  3. Step 3: Cross multiply
    317.44x = 476.58 × 180.73
  4. Step 4: Simplify right side
    317.44x = 86,132.30
  5. Step 5: Solve for x
    x = 86,132.30/317.44
  6. Step 6: Final answer
    x = 271.33

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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.