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Finding the Fourth Proportional to 181.96, 271.80 and 165.76

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Solution

The fourth proportional to 181.96, 271.80 and 165.76 is: 247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 271.80 = 165.76 : x
  2. Step 2: Convert to fraction form
    181.96/271.80 = 165.76/x
  3. Step 3: Cross multiply
    181.96x = 271.80 × 165.76
  4. Step 4: Simplify right side
    181.96x = 45,053.57
  5. Step 5: Solve for x
    x = 45,053.57/181.96
  6. Step 6: Final answer
    x = 247.60

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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.