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Finding the Fourth Proportional to 171.02, 254.80 and 161.84

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Solution

The fourth proportional to 171.02, 254.80 and 161.84 is: 241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.02 : 254.80 = 161.84 : x
  2. Step 2: Convert to fraction form
    171.02/254.80 = 161.84/x
  3. Step 3: Cross multiply
    171.02x = 254.80 × 161.84
  4. Step 4: Simplify right side
    171.02x = 41,236.83
  5. Step 5: Solve for x
    x = 41,236.83/171.02
  6. Step 6: Final answer
    x = 241.12

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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.