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Finding the Fourth Proportional to 177.15, 265.11 and 119.31

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Solution

The fourth proportional to 177.15, 265.11 and 119.31 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.15 : 265.11 = 119.31 : x
  2. Step 2: Convert to fraction form
    177.15/265.11 = 119.31/x
  3. Step 3: Cross multiply
    177.15x = 265.11 × 119.31
  4. Step 4: Simplify right side
    177.15x = 31,628.83
  5. Step 5: Solve for x
    x = 31,628.83/177.15
  6. Step 6: Final answer
    x = 178.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.