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Finding the Fourth Proportional to 291.44, 436.20 and 199.76

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Solution

The fourth proportional to 291.44, 436.20 and 199.76 is: 298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.44 : 436.20 = 199.76 : x
  2. Step 2: Convert to fraction form
    291.44/436.20 = 199.76/x
  3. Step 3: Cross multiply
    291.44x = 436.20 × 199.76
  4. Step 4: Simplify right side
    291.44x = 87,135.31
  5. Step 5: Solve for x
    x = 87,135.31/291.44
  6. Step 6: Final answer
    x = 298.98

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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.