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Finding the Fourth Proportional to 277.32, 382.86 and 179.22

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Solution

The fourth proportional to 277.32, 382.86 and 179.22 is: 247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 382.86 = 179.22 : x
  2. Step 2: Convert to fraction form
    277.32/382.86 = 179.22/x
  3. Step 3: Cross multiply
    277.32x = 382.86 × 179.22
  4. Step 4: Simplify right side
    277.32x = 68,616.17
  5. Step 5: Solve for x
    x = 68,616.17/277.32
  6. Step 6: Final answer
    x = 247.43

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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.