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Finding the Fourth Proportional to 310.62, 465.36 and 200.72

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Solution

The fourth proportional to 310.62, 465.36 and 200.72 is: 300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 465.36 = 200.72 : x
  2. Step 2: Convert to fraction form
    310.62/465.36 = 200.72/x
  3. Step 3: Cross multiply
    310.62x = 465.36 × 200.72
  4. Step 4: Simplify right side
    310.62x = 93,404.73
  5. Step 5: Solve for x
    x = 93,404.73/310.62
  6. Step 6: Final answer
    x = 300.70

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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.