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Finding the Fourth Proportional to 293.12, 439.74 and 130.84

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Solution

The fourth proportional to 293.12, 439.74 and 130.84 is: 196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.12 : 439.74 = 130.84 : x
  2. Step 2: Convert to fraction form
    293.12/439.74 = 130.84/x
  3. Step 3: Cross multiply
    293.12x = 439.74 × 130.84
  4. Step 4: Simplify right side
    293.12x = 57,535.58
  5. Step 5: Solve for x
    x = 57,535.58/293.12
  6. Step 6: Final answer
    x = 196.29

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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.