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Finding the Fourth Proportional to 181.50, 271.07 and 142.89

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Solution

The fourth proportional to 181.50, 271.07 and 142.89 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 271.07 = 142.89 : x
  2. Step 2: Convert to fraction form
    181.50/271.07 = 142.89/x
  3. Step 3: Cross multiply
    181.50x = 271.07 × 142.89
  4. Step 4: Simplify right side
    181.50x = 38,733.19
  5. Step 5: Solve for x
    x = 38,733.19/181.50
  6. Step 6: Final answer
    x = 213.41

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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.