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Finding the Fourth Proportional to 181.61, 272.50 and 78.92

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Solution

The fourth proportional to 181.61, 272.50 and 78.92 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.61 : 272.50 = 78.92 : x
  2. Step 2: Convert to fraction form
    181.61/272.50 = 78.92/x
  3. Step 3: Cross multiply
    181.61x = 272.50 × 78.92
  4. Step 4: Simplify right side
    181.61x = 21,506.18
  5. Step 5: Solve for x
    x = 21,506.18/181.61
  6. Step 6: Final answer
    x = 118.42

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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.