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Finding the Fourth Proportional to 318.51, 439.49 and 185.74

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Solution

The fourth proportional to 318.51, 439.49 and 185.74 is: 256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.51 : 439.49 = 185.74 : x
  2. Step 2: Convert to fraction form
    318.51/439.49 = 185.74/x
  3. Step 3: Cross multiply
    318.51x = 439.49 × 185.74
  4. Step 4: Simplify right side
    318.51x = 81,630.24
  5. Step 5: Solve for x
    x = 81,630.24/318.51
  6. Step 6: Final answer
    x = 256.29

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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.