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Finding the Fourth Proportional to 293.64, 405.14 and 177.24

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Solution

The fourth proportional to 293.64, 405.14 and 177.24 is: 244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 405.14 = 177.24 : x
  2. Step 2: Convert to fraction form
    293.64/405.14 = 177.24/x
  3. Step 3: Cross multiply
    293.64x = 405.14 × 177.24
  4. Step 4: Simplify right side
    293.64x = 71,807.01
  5. Step 5: Solve for x
    x = 71,807.01/293.64
  6. Step 6: Final answer
    x = 244.54

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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.