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Finding the Fourth Proportional to 318.33, 477.38 and 172.19

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Solution

The fourth proportional to 318.33, 477.38 and 172.19 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.33 : 477.38 = 172.19 : x
  2. Step 2: Convert to fraction form
    318.33/477.38 = 172.19/x
  3. Step 3: Cross multiply
    318.33x = 477.38 × 172.19
  4. Step 4: Simplify right side
    318.33x = 82,199.43
  5. Step 5: Solve for x
    x = 82,199.43/318.33
  6. Step 6: Final answer
    x = 258.22

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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.