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Finding the Fourth Proportional to 227.30, 339.66 and 183.48

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Solution

The fourth proportional to 227.30, 339.66 and 183.48 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.30 : 339.66 = 183.48 : x
  2. Step 2: Convert to fraction form
    227.30/339.66 = 183.48/x
  3. Step 3: Cross multiply
    227.30x = 339.66 × 183.48
  4. Step 4: Simplify right side
    227.30x = 62,320.82
  5. Step 5: Solve for x
    x = 62,320.82/227.30
  6. Step 6: Final answer
    x = 274.18

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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.