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Finding the Fourth Proportional to 177.34, 265.26 and 168.70

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Solution

The fourth proportional to 177.34, 265.26 and 168.70 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 265.26 = 168.70 : x
  2. Step 2: Convert to fraction form
    177.34/265.26 = 168.70/x
  3. Step 3: Cross multiply
    177.34x = 265.26 × 168.70
  4. Step 4: Simplify right side
    177.34x = 44,749.36
  5. Step 5: Solve for x
    x = 44,749.36/177.34
  6. Step 6: Final answer
    x = 252.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.