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Finding the Fourth Proportional to 227.60, 341.40 and 182.04

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Solution

The fourth proportional to 227.60, 341.40 and 182.04 is: 273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.60 : 341.40 = 182.04 : x
  2. Step 2: Convert to fraction form
    227.60/341.40 = 182.04/x
  3. Step 3: Cross multiply
    227.60x = 341.40 × 182.04
  4. Step 4: Simplify right side
    227.60x = 62,145.84
  5. Step 5: Solve for x
    x = 62,145.84/227.60
  6. Step 6: Final answer
    x = 273.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.