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Finding the Fourth Proportional to 181.65, 272.43 and 104.63

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Solution

The fourth proportional to 181.65, 272.43 and 104.63 is: 156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.65 : 272.43 = 104.63 : x
  2. Step 2: Convert to fraction form
    181.65/272.43 = 104.63/x
  3. Step 3: Cross multiply
    181.65x = 272.43 × 104.63
  4. Step 4: Simplify right side
    181.65x = 28,504.35
  5. Step 5: Solve for x
    x = 28,504.35/181.65
  6. Step 6: Final answer
    x = 156.92

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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.