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Finding the Fourth Proportional to 272.95, 408.66 and 195.64

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Solution

The fourth proportional to 272.95, 408.66 and 195.64 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.95 : 408.66 = 195.64 : x
  2. Step 2: Convert to fraction form
    272.95/408.66 = 195.64/x
  3. Step 3: Cross multiply
    272.95x = 408.66 × 195.64
  4. Step 4: Simplify right side
    272.95x = 79,950.24
  5. Step 5: Solve for x
    x = 79,950.24/272.95
  6. Step 6: Final answer
    x = 292.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.