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Finding the Fourth Proportional to 295, 407.08 and 196.58

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Solution

The fourth proportional to 295, 407.08 and 196.58 is: 271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295 : 407.08 = 196.58 : x
  2. Step 2: Convert to fraction form
    295/407.08 = 196.58/x
  3. Step 3: Cross multiply
    295x = 407.08 × 196.58
  4. Step 4: Simplify right side
    295x = 80,023.79
  5. Step 5: Solve for x
    x = 80,023.79/295
  6. Step 6: Final answer
    x = 271.27

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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.