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Finding the Fourth Proportional to 226.37, 312.57 and 164.40

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Solution

The fourth proportional to 226.37, 312.57 and 164.40 is: 227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.37 : 312.57 = 164.40 : x
  2. Step 2: Convert to fraction form
    226.37/312.57 = 164.40/x
  3. Step 3: Cross multiply
    226.37x = 312.57 × 164.40
  4. Step 4: Simplify right side
    226.37x = 51,386.51
  5. Step 5: Solve for x
    x = 51,386.51/226.37
  6. Step 6: Final answer
    x = 227.01

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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.