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Finding the Fourth Proportional to 226.58, 312.72 and 171.50

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Solution

The fourth proportional to 226.58, 312.72 and 171.50 is: 236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.58 : 312.72 = 171.50 : x
  2. Step 2: Convert to fraction form
    226.58/312.72 = 171.50/x
  3. Step 3: Cross multiply
    226.58x = 312.72 × 171.50
  4. Step 4: Simplify right side
    226.58x = 53,631.48
  5. Step 5: Solve for x
    x = 53,631.48/226.58
  6. Step 6: Final answer
    x = 236.70

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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.