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Finding the Fourth Proportional to 181, 271.58 and 95.48

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Solution

The fourth proportional to 181, 271.58 and 95.48 is: 143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181 : 271.58 = 95.48 : x
  2. Step 2: Convert to fraction form
    181/271.58 = 95.48/x
  3. Step 3: Cross multiply
    181x = 271.58 × 95.48
  4. Step 4: Simplify right side
    181x = 25,930.46
  5. Step 5: Solve for x
    x = 25,930.46/181
  6. Step 6: Final answer
    x = 143.26

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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.