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Finding the Fourth Proportional to 293.64, 405.12 and 177.20

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Solution

The fourth proportional to 293.64, 405.12 and 177.20 is: 244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 405.12 = 177.20 : x
  2. Step 2: Convert to fraction form
    293.64/405.12 = 177.20/x
  3. Step 3: Cross multiply
    293.64x = 405.12 × 177.20
  4. Step 4: Simplify right side
    293.64x = 71,787.26
  5. Step 5: Solve for x
    x = 71,787.26/293.64
  6. Step 6: Final answer
    x = 244.47

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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.