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Finding the Fourth Proportional to 613.64, 920.34 and 180.70

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Solution

The fourth proportional to 613.64, 920.34 and 180.70 is: 271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.64 : 920.34 = 180.70 : x
  2. Step 2: Convert to fraction form
    613.64/920.34 = 180.70/x
  3. Step 3: Cross multiply
    613.64x = 920.34 × 180.70
  4. Step 4: Simplify right side
    613.64x = 166,305.44
  5. Step 5: Solve for x
    x = 166,305.44/613.64
  6. Step 6: Final answer
    x = 271.01

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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.