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Finding the Fourth Proportional to 295.04, 407.12 and 196.64

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Solution

The fourth proportional to 295.04, 407.12 and 196.64 is: 271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 407.12 = 196.64 : x
  2. Step 2: Convert to fraction form
    295.04/407.12 = 196.64/x
  3. Step 3: Cross multiply
    295.04x = 407.12 × 196.64
  4. Step 4: Simplify right side
    295.04x = 80,055.09
  5. Step 5: Solve for x
    x = 80,055.09/295.04
  6. Step 6: Final answer
    x = 271.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.