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Finding the Fourth Proportional to 295.68, 407.67 and 197.22

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Solution

The fourth proportional to 295.68, 407.67 and 197.22 is: 271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.68 : 407.67 = 197.22 : x
  2. Step 2: Convert to fraction form
    295.68/407.67 = 197.22/x
  3. Step 3: Cross multiply
    295.68x = 407.67 × 197.22
  4. Step 4: Simplify right side
    295.68x = 80,400.68
  5. Step 5: Solve for x
    x = 80,400.68/295.68
  6. Step 6: Final answer
    x = 271.92

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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.