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Finding the Fourth Proportional to 181.10, 271.37 and 78.19

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Solution

The fourth proportional to 181.10, 271.37 and 78.19 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.10 : 271.37 = 78.19 : x
  2. Step 2: Convert to fraction form
    181.10/271.37 = 78.19/x
  3. Step 3: Cross multiply
    181.10x = 271.37 × 78.19
  4. Step 4: Simplify right side
    181.10x = 21,217.94
  5. Step 5: Solve for x
    x = 21,217.94/181.10
  6. Step 6: Final answer
    x = 117.16

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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.