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Finding the Fourth Proportional to 196.16, 295.76 and 178.88

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Solution

The fourth proportional to 196.16, 295.76 and 178.88 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.16 : 295.76 = 178.88 : x
  2. Step 2: Convert to fraction form
    196.16/295.76 = 178.88/x
  3. Step 3: Cross multiply
    196.16x = 295.76 × 178.88
  4. Step 4: Simplify right side
    196.16x = 52,905.55
  5. Step 5: Solve for x
    x = 52,905.55/196.16
  6. Step 6: Final answer
    x = 269.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.