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Finding the Fourth Proportional to 226.82, 313.01 and 123.32

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Solution

The fourth proportional to 226.82, 313.01 and 123.32 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.82 : 313.01 = 123.32 : x
  2. Step 2: Convert to fraction form
    226.82/313.01 = 123.32/x
  3. Step 3: Cross multiply
    226.82x = 313.01 × 123.32
  4. Step 4: Simplify right side
    226.82x = 38,598.21
  5. Step 5: Solve for x
    x = 38,598.21/226.82
  6. Step 6: Final answer
    x = 170.17

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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.