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Finding the Fourth Proportional to 226.16, 312 and 160.72

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Solution

The fourth proportional to 226.16, 312 and 160.72 is: 221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 312 = 160.72 : x
  2. Step 2: Convert to fraction form
    226.16/312 = 160.72/x
  3. Step 3: Cross multiply
    226.16x = 312 × 160.72
  4. Step 4: Simplify right side
    226.16x = 50,144.64
  5. Step 5: Solve for x
    x = 50,144.64/226.16
  6. Step 6: Final answer
    x = 221.72

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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.