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Finding the Fourth Proportional to 293.16, 439.40 and 206.04

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Solution

The fourth proportional to 293.16, 439.40 and 206.04 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 439.40 = 206.04 : x
  2. Step 2: Convert to fraction form
    293.16/439.40 = 206.04/x
  3. Step 3: Cross multiply
    293.16x = 439.40 × 206.04
  4. Step 4: Simplify right side
    293.16x = 90,533.98
  5. Step 5: Solve for x
    x = 90,533.98/293.16
  6. Step 6: Final answer
    x = 308.82

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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.