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Finding the Fourth Proportional to 285.82, 394.51 and 167.82

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Solution

The fourth proportional to 285.82, 394.51 and 167.82 is: 231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.82 : 394.51 = 167.82 : x
  2. Step 2: Convert to fraction form
    285.82/394.51 = 167.82/x
  3. Step 3: Cross multiply
    285.82x = 394.51 × 167.82
  4. Step 4: Simplify right side
    285.82x = 66,206.67
  5. Step 5: Solve for x
    x = 66,206.67/285.82
  6. Step 6: Final answer
    x = 231.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.