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Finding the Fourth Proportional to 293.64, 405.21 and 162.64

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Solution

The fourth proportional to 293.64, 405.21 and 162.64 is: 224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 405.21 = 162.64 : x
  2. Step 2: Convert to fraction form
    293.64/405.21 = 162.64/x
  3. Step 3: Cross multiply
    293.64x = 405.21 × 162.64
  4. Step 4: Simplify right side
    293.64x = 65,903.35
  5. Step 5: Solve for x
    x = 65,903.35/293.64
  6. Step 6: Final answer
    x = 224.44

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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.