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Finding the Fourth Proportional to 294.69, 406.47 and 193.69

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Solution

The fourth proportional to 294.69, 406.47 and 193.69 is: 267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.69 : 406.47 = 193.69 : x
  2. Step 2: Convert to fraction form
    294.69/406.47 = 193.69/x
  3. Step 3: Cross multiply
    294.69x = 406.47 × 193.69
  4. Step 4: Simplify right side
    294.69x = 78,729.32
  5. Step 5: Solve for x
    x = 78,729.32/294.69
  6. Step 6: Final answer
    x = 267.16

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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.