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Finding the Fourth Proportional to 294.07, 405.83 and 163.09

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Solution

The fourth proportional to 294.07, 405.83 and 163.09 is: 225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.07 : 405.83 = 163.09 : x
  2. Step 2: Convert to fraction form
    294.07/405.83 = 163.09/x
  3. Step 3: Cross multiply
    294.07x = 405.83 × 163.09
  4. Step 4: Simplify right side
    294.07x = 66,186.81
  5. Step 5: Solve for x
    x = 66,186.81/294.07
  6. Step 6: Final answer
    x = 225.07

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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.