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Finding the Fourth Proportional to 225.99, 311.70 and 160.53

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Solution

The fourth proportional to 225.99, 311.70 and 160.53 is: 221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.99 : 311.70 = 160.53 : x
  2. Step 2: Convert to fraction form
    225.99/311.70 = 160.53/x
  3. Step 3: Cross multiply
    225.99x = 311.70 × 160.53
  4. Step 4: Simplify right side
    225.99x = 50,037.20
  5. Step 5: Solve for x
    x = 50,037.20/225.99
  6. Step 6: Final answer
    x = 221.41

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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.