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Finding the Fourth Proportional to 181.02, 271.26 and 116.76

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Solution

The fourth proportional to 181.02, 271.26 and 116.76 is: 174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.02 : 271.26 = 116.76 : x
  2. Step 2: Convert to fraction form
    181.02/271.26 = 116.76/x
  3. Step 3: Cross multiply
    181.02x = 271.26 × 116.76
  4. Step 4: Simplify right side
    181.02x = 31,672.32
  5. Step 5: Solve for x
    x = 31,672.32/181.02
  6. Step 6: Final answer
    x = 174.97

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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.