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Finding the Fourth Proportional to 318.13, 477.33 and 171.71

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Solution

The fourth proportional to 318.13, 477.33 and 171.71 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.13 : 477.33 = 171.71 : x
  2. Step 2: Convert to fraction form
    318.13/477.33 = 171.71/x
  3. Step 3: Cross multiply
    318.13x = 477.33 × 171.71
  4. Step 4: Simplify right side
    318.13x = 81,959.09
  5. Step 5: Solve for x
    x = 81,959.09/318.13
  6. Step 6: Final answer
    x = 257.63

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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.