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Finding the Fourth Proportional to 226.32, 312.45 and 160.86

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Solution

The fourth proportional to 226.32, 312.45 and 160.86 is: 222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.32 : 312.45 = 160.86 : x
  2. Step 2: Convert to fraction form
    226.32/312.45 = 160.86/x
  3. Step 3: Cross multiply
    226.32x = 312.45 × 160.86
  4. Step 4: Simplify right side
    226.32x = 50,260.71
  5. Step 5: Solve for x
    x = 50,260.71/226.32
  6. Step 6: Final answer
    x = 222.08

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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.