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Finding the Fourth Proportional to 277.08, 382.41 and 165.11

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Solution

The fourth proportional to 277.08, 382.41 and 165.11 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.08 : 382.41 = 165.11 : x
  2. Step 2: Convert to fraction form
    277.08/382.41 = 165.11/x
  3. Step 3: Cross multiply
    277.08x = 382.41 × 165.11
  4. Step 4: Simplify right side
    277.08x = 63,139.72
  5. Step 5: Solve for x
    x = 63,139.72/277.08
  6. Step 6: Final answer
    x = 227.88

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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.