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Finding the Fourth Proportional to 181.97, 270.80 and 175.49

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Solution

The fourth proportional to 181.97, 270.80 and 175.49 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.97 : 270.80 = 175.49 : x
  2. Step 2: Convert to fraction form
    181.97/270.80 = 175.49/x
  3. Step 3: Cross multiply
    181.97x = 270.80 × 175.49
  4. Step 4: Simplify right side
    181.97x = 47,522.69
  5. Step 5: Solve for x
    x = 47,522.69/181.97
  6. Step 6: Final answer
    x = 261.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.