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Finding the Fourth Proportional to 225, 310.50 and 206.64

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Solution

The fourth proportional to 225, 310.50 and 206.64 is: 285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225 : 310.50 = 206.64 : x
  2. Step 2: Convert to fraction form
    225/310.50 = 206.64/x
  3. Step 3: Cross multiply
    225x = 310.50 × 206.64
  4. Step 4: Simplify right side
    225x = 64,161.72
  5. Step 5: Solve for x
    x = 64,161.72/225
  6. Step 6: Final answer
    x = 285.16

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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.