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Finding the Fourth Proportional to 272.95, 376.71 and 179.66

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Solution

The fourth proportional to 272.95, 376.71 and 179.66 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.95 : 376.71 = 179.66 : x
  2. Step 2: Convert to fraction form
    272.95/376.71 = 179.66/x
  3. Step 3: Cross multiply
    272.95x = 376.71 × 179.66
  4. Step 4: Simplify right side
    272.95x = 67,679.72
  5. Step 5: Solve for x
    x = 67,679.72/272.95
  6. Step 6: Final answer
    x = 247.96

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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.