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Finding the Fourth Proportional to 181.23, 271.78 and 78.46

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Solution

The fourth proportional to 181.23, 271.78 and 78.46 is: 117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.23 : 271.78 = 78.46 : x
  2. Step 2: Convert to fraction form
    181.23/271.78 = 78.46/x
  3. Step 3: Cross multiply
    181.23x = 271.78 × 78.46
  4. Step 4: Simplify right side
    181.23x = 21,323.86
  5. Step 5: Solve for x
    x = 21,323.86/181.23
  6. Step 6: Final answer
    x = 117.66

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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.