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Finding the Fourth Proportional to 293.76, 405.26 and 177.24

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Solution

The fourth proportional to 293.76, 405.26 and 177.24 is: 244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 405.26 = 177.24 : x
  2. Step 2: Convert to fraction form
    293.76/405.26 = 177.24/x
  3. Step 3: Cross multiply
    293.76x = 405.26 × 177.24
  4. Step 4: Simplify right side
    293.76x = 71,828.28
  5. Step 5: Solve for x
    x = 71,828.28/293.76
  6. Step 6: Final answer
    x = 244.51

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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.