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Finding the Fourth Proportional to 225.99, 311.78 and 152.19

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Solution

The fourth proportional to 225.99, 311.78 and 152.19 is: 209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.99 : 311.78 = 152.19 : x
  2. Step 2: Convert to fraction form
    225.99/311.78 = 152.19/x
  3. Step 3: Cross multiply
    225.99x = 311.78 × 152.19
  4. Step 4: Simplify right side
    225.99x = 47,450.18
  5. Step 5: Solve for x
    x = 47,450.18/225.99
  6. Step 6: Final answer
    x = 209.97

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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.