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Finding the Fourth Proportional to 613.51, 920.31 and 180.69

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Solution

The fourth proportional to 613.51, 920.31 and 180.69 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.51 : 920.31 = 180.69 : x
  2. Step 2: Convert to fraction form
    613.51/920.31 = 180.69/x
  3. Step 3: Cross multiply
    613.51x = 920.31 × 180.69
  4. Step 4: Simplify right side
    613.51x = 166,286.21
  5. Step 5: Solve for x
    x = 166,286.21/613.51
  6. Step 6: Final answer
    x = 271.04

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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.