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Finding the Fourth Proportional to 177.57, 243.73 and 170.06

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Solution

The fourth proportional to 177.57, 243.73 and 170.06 is: 233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 243.73 = 170.06 : x
  2. Step 2: Convert to fraction form
    177.57/243.73 = 170.06/x
  3. Step 3: Cross multiply
    177.57x = 243.73 × 170.06
  4. Step 4: Simplify right side
    177.57x = 41,447.72
  5. Step 5: Solve for x
    x = 41,447.72/177.57
  6. Step 6: Final answer
    x = 233.42

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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.