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Finding the Fourth Proportional to 293.57, 405.45 and 195.15

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Solution

The fourth proportional to 293.57, 405.45 and 195.15 is: 269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.57 : 405.45 = 195.15 : x
  2. Step 2: Convert to fraction form
    293.57/405.45 = 195.15/x
  3. Step 3: Cross multiply
    293.57x = 405.45 × 195.15
  4. Step 4: Simplify right side
    293.57x = 79,123.57
  5. Step 5: Solve for x
    x = 79,123.57/293.57
  6. Step 6: Final answer
    x = 269.53

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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.