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Finding the Fourth Proportional to 181.13, 271.49 and 116.20

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Solution

The fourth proportional to 181.13, 271.49 and 116.20 is: 174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.13 : 271.49 = 116.20 : x
  2. Step 2: Convert to fraction form
    181.13/271.49 = 116.20/x
  3. Step 3: Cross multiply
    181.13x = 271.49 × 116.20
  4. Step 4: Simplify right side
    181.13x = 31,547.14
  5. Step 5: Solve for x
    x = 31,547.14/181.13
  6. Step 6: Final answer
    x = 174.17

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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.