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Finding the Fourth Proportional to 270.45, 372.83 and 181.77

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Solution

The fourth proportional to 270.45, 372.83 and 181.77 is: 250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.45 : 372.83 = 181.77 : x
  2. Step 2: Convert to fraction form
    270.45/372.83 = 181.77/x
  3. Step 3: Cross multiply
    270.45x = 372.83 × 181.77
  4. Step 4: Simplify right side
    270.45x = 67,769.76
  5. Step 5: Solve for x
    x = 67,769.76/270.45
  6. Step 6: Final answer
    x = 250.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.