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Finding the Fourth Proportional to 167.94, 230.40 and 165.51

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Solution

The fourth proportional to 167.94, 230.40 and 165.51 is: 227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.94 : 230.40 = 165.51 : x
  2. Step 2: Convert to fraction form
    167.94/230.40 = 165.51/x
  3. Step 3: Cross multiply
    167.94x = 230.40 × 165.51
  4. Step 4: Simplify right side
    167.94x = 38,133.50
  5. Step 5: Solve for x
    x = 38,133.50/167.94
  6. Step 6: Final answer
    x = 227.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.