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Finding the Fourth Proportional to 318.16, 439.08 and 185.40

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Solution

The fourth proportional to 318.16, 439.08 and 185.40 is: 255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 439.08 = 185.40 : x
  2. Step 2: Convert to fraction form
    318.16/439.08 = 185.40/x
  3. Step 3: Cross multiply
    318.16x = 439.08 × 185.40
  4. Step 4: Simplify right side
    318.16x = 81,405.43
  5. Step 5: Solve for x
    x = 81,405.43/318.16
  6. Step 6: Final answer
    x = 255.86

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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.