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Finding the Fourth Proportional to 177.14, 243.94 and 127.94

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Solution

The fourth proportional to 177.14, 243.94 and 127.94 is: 176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.14 : 243.94 = 127.94 : x
  2. Step 2: Convert to fraction form
    177.14/243.94 = 127.94/x
  3. Step 3: Cross multiply
    177.14x = 243.94 × 127.94
  4. Step 4: Simplify right side
    177.14x = 31,209.32
  5. Step 5: Solve for x
    x = 31,209.32/177.14
  6. Step 6: Final answer
    x = 176.19

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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.