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Finding the Fourth Proportional to 293.54, 406.14 and 252.02

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Solution

The fourth proportional to 293.54, 406.14 and 252.02 is: 348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.54 : 406.14 = 252.02 : x
  2. Step 2: Convert to fraction form
    293.54/406.14 = 252.02/x
  3. Step 3: Cross multiply
    293.54x = 406.14 × 252.02
  4. Step 4: Simplify right side
    293.54x = 102,355.40
  5. Step 5: Solve for x
    x = 102,355.40/293.54
  6. Step 6: Final answer
    x = 348.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.