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Finding the Fourth Proportional to 293.50, 405.00 and 162.49

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Solution

The fourth proportional to 293.50, 405.00 and 162.49 is: 224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 405.00 = 162.49 : x
  2. Step 2: Convert to fraction form
    293.50/405.00 = 162.49/x
  3. Step 3: Cross multiply
    293.50x = 405.00 × 162.49
  4. Step 4: Simplify right side
    293.50x = 65,807.64
  5. Step 5: Solve for x
    x = 65,807.64/293.50
  6. Step 6: Final answer
    x = 224.22

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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.