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Finding the Fourth Proportional to 180.17, 268.80 and 160.68

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Solution

The fourth proportional to 180.17, 268.80 and 160.68 is: 239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 268.80 = 160.68 : x
  2. Step 2: Convert to fraction form
    180.17/268.80 = 160.68/x
  3. Step 3: Cross multiply
    180.17x = 268.80 × 160.68
  4. Step 4: Simplify right side
    180.17x = 43,190.78
  5. Step 5: Solve for x
    x = 43,190.78/180.17
  6. Step 6: Final answer
    x = 239.72

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