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Finding the Fourth Proportional to 176.31, 243.05 and 127.11

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Solution

The fourth proportional to 176.31, 243.05 and 127.11 is: 175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.31 : 243.05 = 127.11 : x
  2. Step 2: Convert to fraction form
    176.31/243.05 = 127.11/x
  3. Step 3: Cross multiply
    176.31x = 243.05 × 127.11
  4. Step 4: Simplify right side
    176.31x = 30,893.45
  5. Step 5: Solve for x
    x = 30,893.45/176.31
  6. Step 6: Final answer
    x = 175.22

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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.