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Finding the Fourth Proportional to 227.61, 340.71 and 182.05

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Solution

The fourth proportional to 227.61, 340.71 and 182.05 is: 272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.61 : 340.71 = 182.05 : x
  2. Step 2: Convert to fraction form
    227.61/340.71 = 182.05/x
  3. Step 3: Cross multiply
    227.61x = 340.71 × 182.05
  4. Step 4: Simplify right side
    227.61x = 62,026.26
  5. Step 5: Solve for x
    x = 62,026.26/227.61
  6. Step 6: Final answer
    x = 272.51

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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.