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Finding the Fourth Proportional to 225.10, 336.02 and 220.78

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Solution

The fourth proportional to 225.10, 336.02 and 220.78 is: 329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.10 : 336.02 = 220.78 : x
  2. Step 2: Convert to fraction form
    225.10/336.02 = 220.78/x
  3. Step 3: Cross multiply
    225.10x = 336.02 × 220.78
  4. Step 4: Simplify right side
    225.10x = 74,186.50
  5. Step 5: Solve for x
    x = 74,186.50/225.10
  6. Step 6: Final answer
    x = 329.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.