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Finding the Fourth Proportional to 291.60, 436.82 and 200.22

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Solution

The fourth proportional to 291.60, 436.82 and 200.22 is: 299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 436.82 = 200.22 : x
  2. Step 2: Convert to fraction form
    291.60/436.82 = 200.22/x
  3. Step 3: Cross multiply
    291.60x = 436.82 × 200.22
  4. Step 4: Simplify right side
    291.60x = 87,460.10
  5. Step 5: Solve for x
    x = 87,460.10/291.60
  6. Step 6: Final answer
    x = 299.93

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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.