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Finding the Fourth Proportional to 181.62, 251.61 and 177.15

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Solution

The fourth proportional to 181.62, 251.61 and 177.15 is: 245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.62 : 251.61 = 177.15 : x
  2. Step 2: Convert to fraction form
    181.62/251.61 = 177.15/x
  3. Step 3: Cross multiply
    181.62x = 251.61 × 177.15
  4. Step 4: Simplify right side
    181.62x = 44,572.71
  5. Step 5: Solve for x
    x = 44,572.71/181.62
  6. Step 6: Final answer
    x = 245.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.