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Finding the Fourth Proportional to 226.29, 312.07 and 177.08

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Solution

The fourth proportional to 226.29, 312.07 and 177.08 is: 244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.29 : 312.07 = 177.08 : x
  2. Step 2: Convert to fraction form
    226.29/312.07 = 177.08/x
  3. Step 3: Cross multiply
    226.29x = 312.07 × 177.08
  4. Step 4: Simplify right side
    226.29x = 55,260.91
  5. Step 5: Solve for x
    x = 55,260.91/226.29
  6. Step 6: Final answer
    x = 244.21

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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.