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Finding the Fourth Proportional to 310.72, 465.84 and 200.92

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Solution

The fourth proportional to 310.72, 465.84 and 200.92 is: 301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.72 : 465.84 = 200.92 : x
  2. Step 2: Convert to fraction form
    310.72/465.84 = 200.92/x
  3. Step 3: Cross multiply
    310.72x = 465.84 × 200.92
  4. Step 4: Simplify right side
    310.72x = 93,596.57
  5. Step 5: Solve for x
    x = 93,596.57/310.72
  6. Step 6: Final answer
    x = 301.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.