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Finding the Fourth Proportional to 293.84, 405.52 and 177.36

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Solution

The fourth proportional to 293.84, 405.52 and 177.36 is: 244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 405.52 = 177.36 : x
  2. Step 2: Convert to fraction form
    293.84/405.52 = 177.36/x
  3. Step 3: Cross multiply
    293.84x = 405.52 × 177.36
  4. Step 4: Simplify right side
    293.84x = 71,923.03
  5. Step 5: Solve for x
    x = 71,923.03/293.84
  6. Step 6: Final answer
    x = 244.77

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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.