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Finding the Fourth Proportional to 291.56, 436.80 and 200.04

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Solution

The fourth proportional to 291.56, 436.80 and 200.04 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.56 : 436.80 = 200.04 : x
  2. Step 2: Convert to fraction form
    291.56/436.80 = 200.04/x
  3. Step 3: Cross multiply
    291.56x = 436.80 × 200.04
  4. Step 4: Simplify right side
    291.56x = 87,377.47
  5. Step 5: Solve for x
    x = 87,377.47/291.56
  6. Step 6: Final answer
    x = 299.69

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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.