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Finding the Fourth Proportional to 293.67, 439.90 and 183.65

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Solution

The fourth proportional to 293.67, 439.90 and 183.65 is: 275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.67 : 439.90 = 183.65 : x
  2. Step 2: Convert to fraction form
    293.67/439.90 = 183.65/x
  3. Step 3: Cross multiply
    293.67x = 439.90 × 183.65
  4. Step 4: Simplify right side
    293.67x = 80,784.98
  5. Step 5: Solve for x
    x = 80,784.98/293.67
  6. Step 6: Final answer
    x = 275.09

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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.