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Finding the Fourth Proportional to 295.54, 407.66 and 197.26

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Solution

The fourth proportional to 295.54, 407.66 and 197.26 is: 272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.54 : 407.66 = 197.26 : x
  2. Step 2: Convert to fraction form
    295.54/407.66 = 197.26/x
  3. Step 3: Cross multiply
    295.54x = 407.66 × 197.26
  4. Step 4: Simplify right side
    295.54x = 80,415.01
  5. Step 5: Solve for x
    x = 80,415.01/295.54
  6. Step 6: Final answer
    x = 272.10

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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.