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Finding the Fourth Proportional to 167.47, 230.81 and 130.57

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Solution

The fourth proportional to 167.47, 230.81 and 130.57 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.47 : 230.81 = 130.57 : x
  2. Step 2: Convert to fraction form
    167.47/230.81 = 130.57/x
  3. Step 3: Cross multiply
    167.47x = 230.81 × 130.57
  4. Step 4: Simplify right side
    167.47x = 30,135.63
  5. Step 5: Solve for x
    x = 30,135.63/167.47
  6. Step 6: Final answer
    x = 179.95

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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.