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Finding the Fourth Proportional to 181.20, 271.65 and 127.14

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Solution

The fourth proportional to 181.20, 271.65 and 127.14 is: 190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 271.65 = 127.14 : x
  2. Step 2: Convert to fraction form
    181.20/271.65 = 127.14/x
  3. Step 3: Cross multiply
    181.20x = 271.65 × 127.14
  4. Step 4: Simplify right side
    181.20x = 34,537.04
  5. Step 5: Solve for x
    x = 34,537.04/181.20
  6. Step 6: Final answer
    x = 190.60

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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.