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Finding the Fourth Proportional to 177.30, 244.72 and 165.14

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Solution

The fourth proportional to 177.30, 244.72 and 165.14 is: 227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 244.72 = 165.14 : x
  2. Step 2: Convert to fraction form
    177.30/244.72 = 165.14/x
  3. Step 3: Cross multiply
    177.30x = 244.72 × 165.14
  4. Step 4: Simplify right side
    177.30x = 40,413.06
  5. Step 5: Solve for x
    x = 40,413.06/177.30
  6. Step 6: Final answer
    x = 227.94

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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.