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Finding the Fourth Proportional to 260.72, 392.66 and 197.04

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Solution

The fourth proportional to 260.72, 392.66 and 197.04 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.72 : 392.66 = 197.04 : x
  2. Step 2: Convert to fraction form
    260.72/392.66 = 197.04/x
  3. Step 3: Cross multiply
    260.72x = 392.66 × 197.04
  4. Step 4: Simplify right side
    260.72x = 77,369.73
  5. Step 5: Solve for x
    x = 77,369.73/260.72
  6. Step 6: Final answer
    x = 296.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.