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Finding the Fourth Proportional to 226.41, 312.57 and 164.13

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Solution

The fourth proportional to 226.41, 312.57 and 164.13 is: 226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.41 : 312.57 = 164.13 : x
  2. Step 2: Convert to fraction form
    226.41/312.57 = 164.13/x
  3. Step 3: Cross multiply
    226.41x = 312.57 × 164.13
  4. Step 4: Simplify right side
    226.41x = 51,302.11
  5. Step 5: Solve for x
    x = 51,302.11/226.41
  6. Step 6: Final answer
    x = 226.59

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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.