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Finding the Fourth Proportional to 293.49, 405.09 and 206.19

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Solution

The fourth proportional to 293.49, 405.09 and 206.19 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 405.09 = 206.19 : x
  2. Step 2: Convert to fraction form
    293.49/405.09 = 206.19/x
  3. Step 3: Cross multiply
    293.49x = 405.09 × 206.19
  4. Step 4: Simplify right side
    293.49x = 83,525.51
  5. Step 5: Solve for x
    x = 83,525.51/293.49
  6. Step 6: Final answer
    x = 284.59

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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.