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Finding the Fourth Proportional to 275.99, 380.81 and 177.87

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Solution

The fourth proportional to 275.99, 380.81 and 177.87 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.99 : 380.81 = 177.87 : x
  2. Step 2: Convert to fraction form
    275.99/380.81 = 177.87/x
  3. Step 3: Cross multiply
    275.99x = 380.81 × 177.87
  4. Step 4: Simplify right side
    275.99x = 67,733.79
  5. Step 5: Solve for x
    x = 67,733.79/275.99
  6. Step 6: Final answer
    x = 245.43

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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.