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Finding the Fourth Proportional to 318.66, 439.74 and 180.66

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Solution

The fourth proportional to 318.66, 439.74 and 180.66 is: 249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.66 : 439.74 = 180.66 : x
  2. Step 2: Convert to fraction form
    318.66/439.74 = 180.66/x
  3. Step 3: Cross multiply
    318.66x = 439.74 × 180.66
  4. Step 4: Simplify right side
    318.66x = 79,443.43
  5. Step 5: Solve for x
    x = 79,443.43/318.66
  6. Step 6: Final answer
    x = 249.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.