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Finding the Fourth Proportional to 293.17, 439.75 and 76.75

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Solution

The fourth proportional to 293.17, 439.75 and 76.75 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.17 : 439.75 = 76.75 : x
  2. Step 2: Convert to fraction form
    293.17/439.75 = 76.75/x
  3. Step 3: Cross multiply
    293.17x = 439.75 × 76.75
  4. Step 4: Simplify right side
    293.17x = 33,749.52
  5. Step 5: Solve for x
    x = 33,749.52/293.17
  6. Step 6: Final answer
    x = 115.12

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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.