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Finding the Fourth Proportional to 294.93, 407.02 and 163.95

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Solution

The fourth proportional to 294.93, 407.02 and 163.95 is: 226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.93 : 407.02 = 163.95 : x
  2. Step 2: Convert to fraction form
    294.93/407.02 = 163.95/x
  3. Step 3: Cross multiply
    294.93x = 407.02 × 163.95
  4. Step 4: Simplify right side
    294.93x = 66,730.93
  5. Step 5: Solve for x
    x = 66,730.93/294.93
  6. Step 6: Final answer
    x = 226.26

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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.