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Finding the Fourth Proportional to 318.03, 476.69 and 180.83

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Solution

The fourth proportional to 318.03, 476.69 and 180.83 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.03 : 476.69 = 180.83 : x
  2. Step 2: Convert to fraction form
    318.03/476.69 = 180.83/x
  3. Step 3: Cross multiply
    318.03x = 476.69 × 180.83
  4. Step 4: Simplify right side
    318.03x = 86,200.14
  5. Step 5: Solve for x
    x = 86,200.14/318.03
  6. Step 6: Final answer
    x = 271.05

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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.