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Finding the Fourth Proportional to 182.58, 272.34 and 179.88

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Solution

The fourth proportional to 182.58, 272.34 and 179.88 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.58 : 272.34 = 179.88 : x
  2. Step 2: Convert to fraction form
    182.58/272.34 = 179.88/x
  3. Step 3: Cross multiply
    182.58x = 272.34 × 179.88
  4. Step 4: Simplify right side
    182.58x = 48,988.52
  5. Step 5: Solve for x
    x = 48,988.52/182.58
  6. Step 6: Final answer
    x = 268.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.