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Finding the Fourth Proportional to 167.54, 249.96 and 162.60

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Solution

The fourth proportional to 167.54, 249.96 and 162.60 is: 242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 249.96 = 162.60 : x
  2. Step 2: Convert to fraction form
    167.54/249.96 = 162.60/x
  3. Step 3: Cross multiply
    167.54x = 249.96 × 162.60
  4. Step 4: Simplify right side
    167.54x = 40,643.50
  5. Step 5: Solve for x
    x = 40,643.50/167.54
  6. Step 6: Final answer
    x = 242.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.