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Finding the Fourth Proportional to 182.32, 271.88 and 179.08

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Solution

The fourth proportional to 182.32, 271.88 and 179.08 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.32 : 271.88 = 179.08 : x
  2. Step 2: Convert to fraction form
    182.32/271.88 = 179.08/x
  3. Step 3: Cross multiply
    182.32x = 271.88 × 179.08
  4. Step 4: Simplify right side
    182.32x = 48,688.27
  5. Step 5: Solve for x
    x = 48,688.27/182.32
  6. Step 6: Final answer
    x = 267.05

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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.