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Finding the Fourth Proportional to 225.99, 311.50 and 152.18

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Solution

The fourth proportional to 225.99, 311.50 and 152.18 is: 209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.99 : 311.50 = 152.18 : x
  2. Step 2: Convert to fraction form
    225.99/311.50 = 152.18/x
  3. Step 3: Cross multiply
    225.99x = 311.50 × 152.18
  4. Step 4: Simplify right side
    225.99x = 47,403.01
  5. Step 5: Solve for x
    x = 47,403.01/225.99
  6. Step 6: Final answer
    x = 209.76

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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.