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Finding the Fourth Proportional to 225.74, 311.41 and 152.14

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Solution

The fourth proportional to 225.74, 311.41 and 152.14 is: 209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 311.41 = 152.14 : x
  2. Step 2: Convert to fraction form
    225.74/311.41 = 152.14/x
  3. Step 3: Cross multiply
    225.74x = 311.41 × 152.14
  4. Step 4: Simplify right side
    225.74x = 47,375.60
  5. Step 5: Solve for x
    x = 47,375.60/225.74
  6. Step 6: Final answer
    x = 209.87

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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.