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Finding the Fourth Proportional to 167.47, 231.04 and 167.21

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Solution

The fourth proportional to 167.47, 231.04 and 167.21 is: 230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.47 : 231.04 = 167.21 : x
  2. Step 2: Convert to fraction form
    167.47/231.04 = 167.21/x
  3. Step 3: Cross multiply
    167.47x = 231.04 × 167.21
  4. Step 4: Simplify right side
    167.47x = 38,632.20
  5. Step 5: Solve for x
    x = 38,632.20/167.47
  6. Step 6: Final answer
    x = 230.68

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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.