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Finding the Fourth Proportional to 177.60, 265.68 and 168

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Solution

The fourth proportional to 177.60, 265.68 and 168 is: 251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 265.68 = 168 : x
  2. Step 2: Convert to fraction form
    177.60/265.68 = 168/x
  3. Step 3: Cross multiply
    177.60x = 265.68 × 168
  4. Step 4: Simplify right side
    177.60x = 44,634.24
  5. Step 5: Solve for x
    x = 44,634.24/177.60
  6. Step 6: Final answer
    x = 251.32

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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.