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Finding the Fourth Proportional to 227.47, 313.36 and 180.83

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Solution

The fourth proportional to 227.47, 313.36 and 180.83 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.47 : 313.36 = 180.83 : x
  2. Step 2: Convert to fraction form
    227.47/313.36 = 180.83/x
  3. Step 3: Cross multiply
    227.47x = 313.36 × 180.83
  4. Step 4: Simplify right side
    227.47x = 56,664.89
  5. Step 5: Solve for x
    x = 56,664.89/227.47
  6. Step 6: Final answer
    x = 249.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.