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Finding the Fourth Proportional to 176.82, 265.32 and 119.14

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Solution

The fourth proportional to 176.82, 265.32 and 119.14 is: 178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.82 : 265.32 = 119.14 : x
  2. Step 2: Convert to fraction form
    176.82/265.32 = 119.14/x
  3. Step 3: Cross multiply
    176.82x = 265.32 × 119.14
  4. Step 4: Simplify right side
    176.82x = 31,610.22
  5. Step 5: Solve for x
    x = 31,610.22/176.82
  6. Step 6: Final answer
    x = 178.77

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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.