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Finding the Fourth Proportional to 318.56, 439.60 and 178.68

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Solution

The fourth proportional to 318.56, 439.60 and 178.68 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.56 : 439.60 = 178.68 : x
  2. Step 2: Convert to fraction form
    318.56/439.60 = 178.68/x
  3. Step 3: Cross multiply
    318.56x = 439.60 × 178.68
  4. Step 4: Simplify right side
    318.56x = 78,547.73
  5. Step 5: Solve for x
    x = 78,547.73/318.56
  6. Step 6: Final answer
    x = 246.57

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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.