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Finding the Fourth Proportional to 180.17, 248.67 and 127.83

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Solution

The fourth proportional to 180.17, 248.67 and 127.83 is: 176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 248.67 = 127.83 : x
  2. Step 2: Convert to fraction form
    180.17/248.67 = 127.83/x
  3. Step 3: Cross multiply
    180.17x = 248.67 × 127.83
  4. Step 4: Simplify right side
    180.17x = 31,787.02
  5. Step 5: Solve for x
    x = 31,787.02/180.17
  6. Step 6: Final answer
    x = 176.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.