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Finding the Fourth Proportional to 291.14, 436.46 and 204.20

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Solution

The fourth proportional to 291.14, 436.46 and 204.20 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.14 : 436.46 = 204.20 : x
  2. Step 2: Convert to fraction form
    291.14/436.46 = 204.20/x
  3. Step 3: Cross multiply
    291.14x = 436.46 × 204.20
  4. Step 4: Simplify right side
    291.14x = 89,125.13
  5. Step 5: Solve for x
    x = 89,125.13/291.14
  6. Step 6: Final answer
    x = 306.12

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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.