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Finding the Fourth Proportional to 225.56, 311.46 and 152.12

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Solution

The fourth proportional to 225.56, 311.46 and 152.12 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 311.46 = 152.12 : x
  2. Step 2: Convert to fraction form
    225.56/311.46 = 152.12/x
  3. Step 3: Cross multiply
    225.56x = 311.46 × 152.12
  4. Step 4: Simplify right side
    225.56x = 47,379.30
  5. Step 5: Solve for x
    x = 47,379.30/225.56
  6. Step 6: Final answer
    x = 210.05

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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.