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Finding the Fourth Proportional to 318.08, 477.53 and 164.31

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Solution

The fourth proportional to 318.08, 477.53 and 164.31 is: 246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.08 : 477.53 = 164.31 : x
  2. Step 2: Convert to fraction form
    318.08/477.53 = 164.31/x
  3. Step 3: Cross multiply
    318.08x = 477.53 × 164.31
  4. Step 4: Simplify right side
    318.08x = 78,462.13
  5. Step 5: Solve for x
    x = 78,462.13/318.08
  6. Step 6: Final answer
    x = 246.68

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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.