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Finding the Fourth Proportional to 291.80, 436.92 and 200.67

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Solution

The fourth proportional to 291.80, 436.92 and 200.67 is: 300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.80 : 436.92 = 200.67 : x
  2. Step 2: Convert to fraction form
    291.80/436.92 = 200.67/x
  3. Step 3: Cross multiply
    291.80x = 436.92 × 200.67
  4. Step 4: Simplify right side
    291.80x = 87,676.74
  5. Step 5: Solve for x
    x = 87,676.74/291.80
  6. Step 6: Final answer
    x = 300.47

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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.