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Finding the Fourth Proportional to 295.44, 407.80 and 197.22

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Solution

The fourth proportional to 295.44, 407.80 and 197.22 is: 272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.44 : 407.80 = 197.22 : x
  2. Step 2: Convert to fraction form
    295.44/407.80 = 197.22/x
  3. Step 3: Cross multiply
    295.44x = 407.80 × 197.22
  4. Step 4: Simplify right side
    295.44x = 80,426.32
  5. Step 5: Solve for x
    x = 80,426.32/295.44
  6. Step 6: Final answer
    x = 272.23

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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.