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Finding the Fourth Proportional to 181.86, 272.84 and 138.58

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Solution

The fourth proportional to 181.86, 272.84 and 138.58 is: 207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 272.84 = 138.58 : x
  2. Step 2: Convert to fraction form
    181.86/272.84 = 138.58/x
  3. Step 3: Cross multiply
    181.86x = 272.84 × 138.58
  4. Step 4: Simplify right side
    181.86x = 37,809.96
  5. Step 5: Solve for x
    x = 37,809.96/181.86
  6. Step 6: Final answer
    x = 207.90

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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.