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Finding the Fourth Proportional to 293.47, 439.59 and 183.43

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Solution

The fourth proportional to 293.47, 439.59 and 183.43 is: 274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.47 : 439.59 = 183.43 : x
  2. Step 2: Convert to fraction form
    293.47/439.59 = 183.43/x
  3. Step 3: Cross multiply
    293.47x = 439.59 × 183.43
  4. Step 4: Simplify right side
    293.47x = 80,633.99
  5. Step 5: Solve for x
    x = 80,633.99/293.47
  6. Step 6: Final answer
    x = 274.76

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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.