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Finding the Fourth Proportional to 176.73, 265.11 and 127.54

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Solution

The fourth proportional to 176.73, 265.11 and 127.54 is: 191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.73 : 265.11 = 127.54 : x
  2. Step 2: Convert to fraction form
    176.73/265.11 = 127.54/x
  3. Step 3: Cross multiply
    176.73x = 265.11 × 127.54
  4. Step 4: Simplify right side
    176.73x = 33,812.13
  5. Step 5: Solve for x
    x = 33,812.13/176.73
  6. Step 6: Final answer
    x = 191.32

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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.