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Finding the Fourth Proportional to 226.79, 313.01 and 180.51

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Solution

The fourth proportional to 226.79, 313.01 and 180.51 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.79 : 313.01 = 180.51 : x
  2. Step 2: Convert to fraction form
    226.79/313.01 = 180.51/x
  3. Step 3: Cross multiply
    226.79x = 313.01 × 180.51
  4. Step 4: Simplify right side
    226.79x = 56,501.44
  5. Step 5: Solve for x
    x = 56,501.44/226.79
  6. Step 6: Final answer
    x = 249.14

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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.