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Finding the Fourth Proportional to 613.65, 919.82 and 202.68

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Solution

The fourth proportional to 613.65, 919.82 and 202.68 is: 303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.65 : 919.82 = 202.68 : x
  2. Step 2: Convert to fraction form
    613.65/919.82 = 202.68/x
  3. Step 3: Cross multiply
    613.65x = 919.82 × 202.68
  4. Step 4: Simplify right side
    613.65x = 186,429.12
  5. Step 5: Solve for x
    x = 186,429.12/613.65
  6. Step 6: Final answer
    x = 303.80

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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.