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Finding the Fourth Proportional to 295.26, 407.26 and 197.02

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Solution

The fourth proportional to 295.26, 407.26 and 197.02 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.26 : 407.26 = 197.02 : x
  2. Step 2: Convert to fraction form
    295.26/407.26 = 197.02/x
  3. Step 3: Cross multiply
    295.26x = 407.26 × 197.02
  4. Step 4: Simplify right side
    295.26x = 80,238.37
  5. Step 5: Solve for x
    x = 80,238.37/295.26
  6. Step 6: Final answer
    x = 271.75

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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.