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Finding the Fourth Proportional to 167.99, 231.93 and 118.91

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Solution

The fourth proportional to 167.99, 231.93 and 118.91 is: 164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.99 : 231.93 = 118.91 : x
  2. Step 2: Convert to fraction form
    167.99/231.93 = 118.91/x
  3. Step 3: Cross multiply
    167.99x = 231.93 × 118.91
  4. Step 4: Simplify right side
    167.99x = 27,579.38
  5. Step 5: Solve for x
    x = 27,579.38/167.99
  6. Step 6: Final answer
    x = 164.18

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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.