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Finding the Fourth Proportional to 318.16, 476.61 and 180.79

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Solution

The fourth proportional to 318.16, 476.61 and 180.79 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 476.61 = 180.79 : x
  2. Step 2: Convert to fraction form
    318.16/476.61 = 180.79/x
  3. Step 3: Cross multiply
    318.16x = 476.61 × 180.79
  4. Step 4: Simplify right side
    318.16x = 86,166.32
  5. Step 5: Solve for x
    x = 86,166.32/318.16
  6. Step 6: Final answer
    x = 270.83

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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.