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Finding the Fourth Proportional to 318.81, 439.84 and 180.81

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Solution

The fourth proportional to 318.81, 439.84 and 180.81 is: 249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.81 : 439.84 = 180.81 : x
  2. Step 2: Convert to fraction form
    318.81/439.84 = 180.81/x
  3. Step 3: Cross multiply
    318.81x = 439.84 × 180.81
  4. Step 4: Simplify right side
    318.81x = 79,527.47
  5. Step 5: Solve for x
    x = 79,527.47/318.81
  6. Step 6: Final answer
    x = 249.45

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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.