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Finding the Fourth Proportional to 181.25, 271.79 and 116.24

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Solution

The fourth proportional to 181.25, 271.79 and 116.24 is: 174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.25 : 271.79 = 116.24 : x
  2. Step 2: Convert to fraction form
    181.25/271.79 = 116.24/x
  3. Step 3: Cross multiply
    181.25x = 271.79 × 116.24
  4. Step 4: Simplify right side
    181.25x = 31,592.89
  5. Step 5: Solve for x
    x = 31,592.89/181.25
  6. Step 6: Final answer
    x = 174.30

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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.