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Finding the Fourth Proportional to 293.50, 405.03 and 177.09

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Solution

The fourth proportional to 293.50, 405.03 and 177.09 is: 244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 405.03 = 177.09 : x
  2. Step 2: Convert to fraction form
    293.50/405.03 = 177.09/x
  3. Step 3: Cross multiply
    293.50x = 405.03 × 177.09
  4. Step 4: Simplify right side
    293.50x = 71,726.76
  5. Step 5: Solve for x
    x = 71,726.76/293.50
  6. Step 6: Final answer
    x = 244.38

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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.