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Finding the Fourth Proportional to 182.32, 272.56 and 178.72

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Solution

The fourth proportional to 182.32, 272.56 and 178.72 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.32 : 272.56 = 178.72 : x
  2. Step 2: Convert to fraction form
    182.32/272.56 = 178.72/x
  3. Step 3: Cross multiply
    182.32x = 272.56 × 178.72
  4. Step 4: Simplify right side
    182.32x = 48,711.92
  5. Step 5: Solve for x
    x = 48,711.92/182.32
  6. Step 6: Final answer
    x = 267.18

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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.