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Finding the Fourth Proportional to 283.53, 391.32 and 167.12

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Solution

The fourth proportional to 283.53, 391.32 and 167.12 is: 230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.53 : 391.32 = 167.12 : x
  2. Step 2: Convert to fraction form
    283.53/391.32 = 167.12/x
  3. Step 3: Cross multiply
    283.53x = 391.32 × 167.12
  4. Step 4: Simplify right side
    283.53x = 65,395.44
  5. Step 5: Solve for x
    x = 65,395.44/283.53
  6. Step 6: Final answer
    x = 230.65

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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.