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Finding the Fourth Proportional to 275.92, 381.02 and 177.84

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Solution

The fourth proportional to 275.92, 381.02 and 177.84 is: 245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 381.02 = 177.84 : x
  2. Step 2: Convert to fraction form
    275.92/381.02 = 177.84/x
  3. Step 3: Cross multiply
    275.92x = 381.02 × 177.84
  4. Step 4: Simplify right side
    275.92x = 67,761.14
  5. Step 5: Solve for x
    x = 67,761.14/275.92
  6. Step 6: Final answer
    x = 245.58

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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.