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Finding the Fourth Proportional to 226.81, 312.41 and 177.60

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Solution

The fourth proportional to 226.81, 312.41 and 177.60 is: 244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.81 : 312.41 = 177.60 : x
  2. Step 2: Convert to fraction form
    226.81/312.41 = 177.60/x
  3. Step 3: Cross multiply
    226.81x = 312.41 × 177.60
  4. Step 4: Simplify right side
    226.81x = 55,482.01
  5. Step 5: Solve for x
    x = 55,482.01/226.81
  6. Step 6: Final answer
    x = 244.62

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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.