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Finding the Fourth Proportional to 613.14, 919.68 and 180.27

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Solution

The fourth proportional to 613.14, 919.68 and 180.27 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.14 : 919.68 = 180.27 : x
  2. Step 2: Convert to fraction form
    613.14/919.68 = 180.27/x
  3. Step 3: Cross multiply
    613.14x = 919.68 × 180.27
  4. Step 4: Simplify right side
    613.14x = 165,790.71
  5. Step 5: Solve for x
    x = 165,790.71/613.14
  6. Step 6: Final answer
    x = 270.40

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1.5x scale

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.