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Finding the Fourth Proportional to 363.70, 501.88 and 206.29

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Solution

The fourth proportional to 363.70, 501.88 and 206.29 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.70 : 501.88 = 206.29 : x
  2. Step 2: Convert to fraction form
    363.70/501.88 = 206.29/x
  3. Step 3: Cross multiply
    363.70x = 501.88 × 206.29
  4. Step 4: Simplify right side
    363.70x = 103,532.83
  5. Step 5: Solve for x
    x = 103,532.83/363.70
  6. Step 6: Final answer
    x = 284.67

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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.