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Finding the Fourth Proportional to 225.65, 311.17 and 166.53

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Solution

The fourth proportional to 225.65, 311.17 and 166.53 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.65 : 311.17 = 166.53 : x
  2. Step 2: Convert to fraction form
    225.65/311.17 = 166.53/x
  3. Step 3: Cross multiply
    225.65x = 311.17 × 166.53
  4. Step 4: Simplify right side
    225.65x = 51,819.50
  5. Step 5: Solve for x
    x = 51,819.50/225.65
  6. Step 6: Final answer
    x = 229.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.