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Finding the Fourth Proportional to 565.36, 847.88 and 180.56

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Solution

The fourth proportional to 565.36, 847.88 and 180.56 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.36 : 847.88 = 180.56 : x
  2. Step 2: Convert to fraction form
    565.36/847.88 = 180.56/x
  3. Step 3: Cross multiply
    565.36x = 847.88 × 180.56
  4. Step 4: Simplify right side
    565.36x = 153,093.21
  5. Step 5: Solve for x
    x = 153,093.21/565.36
  6. Step 6: Final answer
    x = 270.79

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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.