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Finding the Fourth Proportional to 318.15, 477.19 and 164.07

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Solution

The fourth proportional to 318.15, 477.19 and 164.07 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.15 : 477.19 = 164.07 : x
  2. Step 2: Convert to fraction form
    318.15/477.19 = 164.07/x
  3. Step 3: Cross multiply
    318.15x = 477.19 × 164.07
  4. Step 4: Simplify right side
    318.15x = 78,292.56
  5. Step 5: Solve for x
    x = 78,292.56/318.15
  6. Step 6: Final answer
    x = 246.09

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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.