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Finding the Fourth Proportional to 293.24, 439.86 and 164.06

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Solution

The fourth proportional to 293.24, 439.86 and 164.06 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.24 : 439.86 = 164.06 : x
  2. Step 2: Convert to fraction form
    293.24/439.86 = 164.06/x
  3. Step 3: Cross multiply
    293.24x = 439.86 × 164.06
  4. Step 4: Simplify right side
    293.24x = 72,164.27
  5. Step 5: Solve for x
    x = 72,164.27/293.24
  6. Step 6: Final answer
    x = 246.10

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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.