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Finding the Fourth Proportional to 225.60, 311.12 and 160.16

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Solution

The fourth proportional to 225.60, 311.12 and 160.16 is: 220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 311.12 = 160.16 : x
  2. Step 2: Convert to fraction form
    225.60/311.12 = 160.16/x
  3. Step 3: Cross multiply
    225.60x = 311.12 × 160.16
  4. Step 4: Simplify right side
    225.60x = 49,828.98
  5. Step 5: Solve for x
    x = 49,828.98/225.60
  6. Step 6: Final answer
    x = 220.87

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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.