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Finding the Fourth Proportional to 291.20, 436.16 and 243.20

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Solution

The fourth proportional to 291.20, 436.16 and 243.20 is: 364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.20 : 436.16 = 243.20 : x
  2. Step 2: Convert to fraction form
    291.20/436.16 = 243.20/x
  3. Step 3: Cross multiply
    291.20x = 436.16 × 243.20
  4. Step 4: Simplify right side
    291.20x = 106,074.11
  5. Step 5: Solve for x
    x = 106,074.11/291.20
  6. Step 6: Final answer
    x = 364.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.