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Finding the Fourth Proportional to 318.09, 477.27 and 123.15

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Solution

The fourth proportional to 318.09, 477.27 and 123.15 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.09 : 477.27 = 123.15 : x
  2. Step 2: Convert to fraction form
    318.09/477.27 = 123.15/x
  3. Step 3: Cross multiply
    318.09x = 477.27 × 123.15
  4. Step 4: Simplify right side
    318.09x = 58,775.80
  5. Step 5: Solve for x
    x = 58,775.80/318.09
  6. Step 6: Final answer
    x = 184.78

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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.