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Finding the Fourth Proportional to 294.92, 407.16 and 195.34

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Solution

The fourth proportional to 294.92, 407.16 and 195.34 is: 269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.92 : 407.16 = 195.34 : x
  2. Step 2: Convert to fraction form
    294.92/407.16 = 195.34/x
  3. Step 3: Cross multiply
    294.92x = 407.16 × 195.34
  4. Step 4: Simplify right side
    294.92x = 79,534.63
  5. Step 5: Solve for x
    x = 79,534.63/294.92
  6. Step 6: Final answer
    x = 269.68

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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.