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Finding the Fourth Proportional to 285.95, 394.44 and 167.89

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Solution

The fourth proportional to 285.95, 394.44 and 167.89 is: 231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.95 : 394.44 = 167.89 : x
  2. Step 2: Convert to fraction form
    285.95/394.44 = 167.89/x
  3. Step 3: Cross multiply
    285.95x = 394.44 × 167.89
  4. Step 4: Simplify right side
    285.95x = 66,222.53
  5. Step 5: Solve for x
    x = 66,222.53/285.95
  6. Step 6: Final answer
    x = 231.59

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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.